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's formula is a crucial tool in algebra, particularly when solving quadratic equations. It helps us find the relationship between the roots of a quadratic equation and its coefficients without having to determine the exact roots.

9th-grade students will practice Vieta's formula within the curriculum on equations and systems of equations of numbers and algebra!

*Note: The information above is for reference only./.

What does Vieta's formula mean? Are 9th-grade students in Vietnam required to be able to explain Vieta's formula? (Image from the Internet)

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

Under Section 5 of the General education program in Mathematics issued with Circular 32/2018/TT-BGDDT on learning outcomes required for 9th-grade Mathematics as follows:

Equations and System of Equations

Equations reduced to first-degree equations with one unknown

- Capable of solving product equations of the 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 the concept of first-degree equations with two unknowns, and systems of two first-degree equations with two unknowns.

- Recognize the 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 the 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 the order in the set of real numbers.

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

- Recognize the 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 formula is one of the required competencies for the 9th-grade Mathematics curriculum. Therefore, 9th-grade students must be able to explain Vieta's formula.

Will 9th-grade students in Vietnam be granted a lower secondary diploma upon completing the lower secondary education program?

Under Clause 2, Article 34 of the Education 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 the primary education programme and meet the requirements set by the 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 the lower secondary education programme and meet the requirements set by the Minister of Education and Training will be issued with diplomas of lower secondary education by the head of an educational specialized agency under the management of a provincial People’s Committee.

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

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

Certificate for completion of general education is used to register for the examination for the upper secondary diploma per learners' wish or per the requirements to continue studying in vocational education and is used in specific cases as prescribed by law.

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Under the above regulations, 9th-grad students who have completed the lower secondary education program and meet the prescribed conditions of the Minister of Education and Training will be granted a lower secondary diploma by the head of the educational authority under the district-level People's Committee.

Thus, 9th-grade students must complete the lower secondary education program and meet the prescribed conditions of the Minister of Education and Training to be granted a lower secondary diploma.