Arnmirabueno9viz
Answered

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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Sagot :

Naroyn007viz

Answer:

Step-by-step explanation:

A. [tex]x^{2}[/tex] + 12 = 7[tex]x^[/tex]

    [tex]x^{2}[/tex] - 7[tex]x^[/tex] + 12 = 0

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. [tex]x^{2}[/tex] + 12 = 7[tex]x^[/tex]

[tex](4)^{2}[/tex] + 12 = 7(4)

16 + 12  = 28

28 = 28, ok

Apply X = 3 to original eq. [tex]x^{2}[/tex] + 12 = 7[tex]x^[/tex]

[tex](3)^{2}[/tex] + 12 = 7(3)

9 + 12 = 21

21 = 21, ok