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

Sum and product of roots

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Page 1: Sum and product of roots

THE SUM AND THE PRODUCT OF ROOTS OF QUADRATIC EQUATIONS

Ms. Majesty P. Ortiz

Page 2: Sum and product of roots

DRILL

7 + 1522-9 +145-6 + (-17)-23

Page 3: Sum and product of roots

DRILL−𝟑𝟖 +

𝟏𝟖−𝟏𝟒(−𝟓𝟔 )+(−𝟏𝟔 )-1(8)(15)120

Page 4: Sum and product of roots

DRILL

(-4)(7)-28(-6)(-12)72

Page 5: Sum and product of roots

DRILL(−𝟏𝟐 )(𝟒𝟐 )-1(−𝟒𝟑 )(−𝟐𝟑 )𝟖𝟗(𝒙+𝟐 ) (𝒙−𝟐 )𝒙𝟐−𝟒(𝒙−𝟓)(𝒙+𝟓)-25

Page 6: Sum and product of roots

Quadratic Equation Roots Sum of Roots

Product of Roots

                                          

GROUP WORK

Page 7: Sum and product of roots

x = 𝒙𝟏=

−𝒃+√𝒃𝟐−𝟒𝒂𝒄𝟐𝒂

𝒙𝟐=−𝒃−√𝒃𝟐−𝟒𝒂𝒄

𝟐𝒂

Page 8: Sum and product of roots

Sum of the Roots of Quadratic Equation

Product of the Roots of Quadratic Equation

Page 9: Sum and product of roots

Examples:

Page 10: Sum and product of roots

Use the values of a, b, and c of each of the following equations in determining the sum and the product of its roots.

SEATWORK

Page 11: Sum and product of roots

SUM PRODUCT1. - 4 32. -2 -33. -4 -214. -15.

Page 12: Sum and product of roots

A.Without solving for the roots, find the sum and product of the roots of each quadratic equation.

1. 2.

B.Write a quadratic equation with integral coefficients whose sum and product of roots are given.

1. 2. 0 and 6

ASSIGNMENT