Roots and Coefficient of Quadratic Equations

Presentation

•

Mathematics

•

9th Grade

•

Hard

Vanessa Espartero

Used 32+ times

FREE Resource

10 Slides • 6 Questions

Roots and Coefficients of Quadratic Equations

Objectives:

1. Characterizes the roots of a quadratic equation using the discriminant.

2. Describes the relationship between the coefficients and the roots of a quadratic equation.

3. Write a quadratic equation given a pair of solutions

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Solve each equation by using the quadratic formula.

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Complete the table below.

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Complete the table below.

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We use the discriminant to determine the number of real solutions of a quadratic equation. It also tells whether those solutions are either rational or irrational numbers.

Discriminant or D = b² - 4ac

Multiple Choice

If D = 0, the equations has ____ real solutions.

Multiple Choice

If D > 0 but not a perfect square, the quadratic equation is said to have 2 real solutions which are ______

rational

irrational

imaginary

Multiple Choice

What is the discriminant of the quadratic equation 4x² - 5x - 9 = 0?

119

144

163

169

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Complete the table below.

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Complete the table below.

Multiple Choice

True or False.

The sum of the two roots can be computed by using $\frac{c}{a}$ .

True

False

Multiple Choice

What is the product of the roots of x² + 2x + 3 = 0?

-3

-2

Multiple Choice

What is the sum of the roots of 2x² - 3x = 4?

-2

3/2

-3/2

Worktext Reference:

Oronce O.A., Mendoza M.O. (2019). E-Math Worktext in Mathematics 9, Manila, Philippines: REX Bookstore Inc.

Roots and Coefficients of Quadratic Equations

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