Sum and product of roots

THE SUM AND THE PRODUCT OF ROOTS OF QUADRATIC EQUATIONS Ms. Majesty P. Ortiz

+ ( )( + ) -25

Quadratic Equation Roots Sum of Roots Product of Roots 2 + 7 + 12 = 0 2 + 7 18 = 0 2 5 24 = 0 42 + + = 0 22 + 8 10 = 0 82 = 0

x = = + =

Sum of the Roots of Quadratic Equation + = Product of the Roots of Quadratic Equation 1 2 =

1) = 2) + + = 3) =

Use the values of a, b, and c of each of the following equations in determining the sum and the product of its roots. 1. + + = 2. + = 3. + = 4. + = 5. =

SUM PRODUCT 1. - 4 3 2. -2 -3 3. -4 -21 4. -1 5.

A.Without solving for the roots, find the sum and product of the roots of each quadratic equation. 1. + = 2. + + = 3. + = 4. + = 5. + + = B.Write a quadratic equation with integral coefficients whose sum and product of roots are given. 1. 2. 3. 0 and 6

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