ACTIVITY 1: FACTOR THEN SOLVE Directions: Solve the given quadratic equations by factoring. Follow the steps given above.
1. x² + 12 = 7x
A. Transform the quadratic equation into standard form. _______________
B. Factor the quadratic expression _____________
C. Apply the zero product property by setting each factor of the quadratic expression equal to zero ______________
D. Solve each resulting equation _______________
E. Check the values of the variable obtaine by substituting each in the original equation _______________
2. 4x² - 81 = 0
A. ______________
B. ______________
C. ______________
D. _______________
E. ______________
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Answers & Comments
Answer:
Step-by-step explanation:
A.
+ 12 = 7![x^ x^](https://tex.z-dn.net/?f=x%5E)
B. ( x - 4) (x - 3 ) = 0
C.(X - 4 ) = 0
(X - 3) = 0
D. (X - 4) = 0
X = 4
(X -3) = 0
X = 3
C. Apply X = 4 to original eq.
+ 12 = 7![x^ x^](https://tex.z-dn.net/?f=x%5E)
16 + 12 = 28
28 = 28, ok
Apply X = 3 to original eq.
+ 12 = 7![x^ x^](https://tex.z-dn.net/?f=x%5E)
9 + 12 = 21
21 = 21, ok