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xoilac tv trực tiếp bóng đá hôm nayWhat does Vieta's formula mean? Are 9th-grade students in Vietnam required to be able to explain Vieta's formula?

What does Vieta's formula mean? Are 9th-grade students in Vietnam required to be able to explain Vieta's formula?

What does Vieta's formula mean?

Vieta'sformulaisa crucial tool in algebra, particularly when solving quadratic equations. It helps us find xoilac tv trực tiếp bóng đá hôm nay relationship between xoilac tv trực tiếp bóng đá hôm nay roots of a quadratic equation and its coefficients without having to determine xoilac tv trực tiếp bóng đá hôm nay exact roots.

9th-grade students will practiceVieta's formulawithin xoilac tv trực tiếp bóng đá hôm nay curriculum on equations and systems of equations of numbers and algebra!

What does Vieta's formula mean?

Detailed Definition:

Consider xoilac tv trực tiếp bóng đá hôm nay general quadratic equation:

ax² + bx + c = 0 (where a ≠ 0)

with two rootsx₁ and x₂. Then, Vieta's formula provides us with xoilac tv trực tiếp bóng đá hôm nay following equalities:

Sum of xoilac tv trực tiếp bóng đá hôm nay roots: x₁ + x₂ = -b/a

Product of xoilac tv trực tiếp bóng đá hôm nay roots: x₁ * x₂ = c/a

Applications of Vieta's formula

Checking xoilac tv trực tiếp bóng đá hôm nay roots: After finding xoilac tv trực tiếp bóng đá hôm nay roots of a quadratic equation, we can use Vieta's formula to verify whether xoilac tv trực tiếp bóng đá hôm nay solution is correct.

Finding xoilac tv trực tiếp bóng đá hôm nay second root:If we know one root of xoilac tv trực tiếp bóng đá hôm nay equation, we can use Vieta's formula to find xoilac tv trực tiếp bóng đá hôm nay other root.

Solving problems related to xoilac tv trực tiếp bóng đá hôm nay roots of quadratic equations: Many algebra and geometry problems can be solved by applying Vieta's formula.

Example:

Given xoilac tv trực tiếp bóng đá hôm nay equation x² - 5x + 6 = 0

Applying Vieta's formula, we have:

Sum of xoilac tv trực tiếp bóng đá hôm nay roots:x₁ + x₂ = 5

Product of xoilac tv trực tiếp bóng đá hôm nay roots:x₁ * x₂ = 6

From this, we can deduce that xoilac tv trực tiếp bóng đá hôm nay roots of xoilac tv trực tiếp bóng đá hôm nay equation arex₁ = 2andx₂ = 3.

Note: Vieta's formula only applies to quadratic equations with two distinct roots.

*Note: xoilac tv trực tiếp bóng đá hôm nay information above is for reference only./.

What is Viet's Formula? Grade 9 students must explain Viet's Formula?

What does Vieta's formula mean? Are 9th-grade students in Vietnam required to be able to explain Vieta's formula? (Image from xoilac tv trực tiếp bóng đá hôm nay Internet)

Are9th-grade students in Vietnam required to be able toexplain Vieta's formula?

Under Section 5 of xoilac tv trực tiếp bóng đá hôm nay General education program in Mathematics issued withCircular 32/2018/TT-BGDDTon learning outcomes required for9th-grade Mathematics as follows:

Equations and System of Equations

Equations reduced to first-degree equations with one unknown

- Capable of solving product equations of xoilac tv trực tiếp bóng đá hôm nay form (a1x + b1).(a2x + b2) = 0.

- Able to solve equations containing unknowns in denominators reduced to first-degree equations.

First-degree equations and systems of equations with two unknowns

- Recognize xoilac tv trực tiếp bóng đá hôm nay concept of first-degree equations with two unknowns, and systems of two first-degree equations with two unknowns.

- Recognize xoilac tv trực tiếp bóng đá hôm nay concept of solutions to systems of two first-degree equations with two unknowns.

- Capable of solving systems of two first-degree equations with two unknowns.

- Able to calculate solutions of systems of two first-degree equations with two unknowns using a calculator.

- Solve practical problems associated with systems of two first-degree equations with two unknowns (e.g., problems related to balancing reactions in Chemistry,...).

Quadratic equation with one unknown. Viet's Theorem

- Recognize xoilac tv trực tiếp bóng đá hôm nay concept of quadratic equations with one unknown. Able to solve quadratic equations with one unknown.

- Able to compute solutions to quadratic equations with one unknown using a calculator.

- Explain Viet's theorem and its application (e.g., calculating solutions to quadratic equations mentally, finding two numbers given their sum and product,...).

- Apply quadratic equations to solve practical problems.

First-degree inequality with one unknown Inequality. First-degree inequality with one unknown

- Recognize xoilac tv trực tiếp bóng đá hôm nay order in xoilac tv trực tiếp bóng đá hôm nay set of real numbers.

- Recognize inequalities and describe some basic properties of inequalities (transitive property; relationship between order and addition, multiplication).

- Recognize xoilac tv trực tiếp bóng đá hôm nay concept of first-degree inequality with one unknown, solutions to first-degree inequalities with one unknown.

- Capable of solving first-degree inequalities with one unknown.

Thus,being able to explain Vieta's formulais one of xoilac tv trực tiếp bóng đá hôm nay required competencies for the9th-gradeMathematics curriculum. Therefore,9th-gradestudents must be able to explainVieta's formula.

Will 9th-gradestudents in Vietnam be granteda lower secondary diploma upon completing xoilac tv trực tiếp bóng đá hôm nay lower secondary education program?

Under Clause 2, Article 34 of xoilac tv trực tiếp bóng đá hôm nayEducation Law 2019, regulations on confirming completion of primary and secondary school programs and issuing diplomas for 9th-grade lower secondary students are as follows:

Certification for completion of primary education and issuance of lower secondary diploma and upper secondary diploma

1. Students who complete xoilac tv trực tiếp bóng đá hôm nay primary education programme and meet xoilac tv trực tiếp bóng đá hôm nay requirements set by xoilac tv trực tiếp bóng đá hôm nay Minister of Education and Training will be certified in their official academic records by a primary school principal that they have completed primary education.

2. Students who complete xoilac tv trực tiếp bóng đá hôm nay lower secondary education programme and meet xoilac tv trực tiếp bóng đá hôm nay requirements set by xoilac tv trực tiếp bóng đá hôm nay Minister of Education and Training will be issued with diplomas of lower secondary education by xoilac tv trực tiếp bóng đá hôm nay head of an educational specialized agency under xoilac tv trực tiếp bóng đá hôm nay management of a provincial People’s Committee.

3. Students who complete xoilac tv trực tiếp bóng đá hôm nay upper secondary education programme and meet xoilac tv trực tiếp bóng đá hôm nay requirements set by xoilac tv trực tiếp bóng đá hôm nay Minister of Education and Training will be eligible to take xoilac tv trực tiếp bóng đá hôm nay examination. Those who pass xoilac tv trực tiếp bóng đá hôm nay examination are issued with diplomas of upper secondary education by xoilac tv trực tiếp bóng đá hôm nay head of an educational specialized agency under xoilac tv trực tiếp bóng đá hôm nay management of a provincial People’s Committee.

Students who complete upper secondary education and meet xoilac tv trực tiếp bóng đá hôm nay requirements set by xoilac tv trực tiếp bóng đá hôm nay Minister of Education and Training will be eligible to take xoilac tv trực tiếp bóng đá hôm nay examination. Those who do not take xoilac tv trực tiếp bóng đá hôm nay examination or fail xoilac tv trực tiếp bóng đá hôm nay examination are issued with certificates by xoilac tv trực tiếp bóng đá hôm nay school principal that they have completed general education.

Certificate for completion of general education is used to register for xoilac tv trực tiếp bóng đá hôm nay examination for xoilac tv trực tiếp bóng đá hôm nay upper secondary diploma per learners' wish or per xoilac tv trực tiếp bóng đá hôm nay requirements to continue studying in vocational education and is used in specific cases as prescribed by law.

...

Under xoilac tv trực tiếp bóng đá hôm nay above regulations, 9th-grad studentswho have completed xoilac tv trực tiếp bóng đá hôm nay lower secondary educationprogram and meet xoilac tv trực tiếp bóng đá hôm nay prescribed conditions of xoilac tv trực tiếp bóng đá hôm nay Minister of Education and Training will be granteda lower secondary diploma by xoilac tv trực tiếp bóng đá hôm nay head of xoilac tv trực tiếp bóng đá hôm nay educational authority under xoilac tv trực tiếp bóng đá hôm nay district-level People's Committee.

Thus, 9th-grade students must complete xoilac tv trực tiếp bóng đá hôm nay lower secondary educationprogram and meet xoilac tv trực tiếp bóng đá hôm nay prescribed conditions of xoilac tv trực tiếp bóng đá hôm nay Minister of Education and Training to be granteda lower secondary diploma.

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