marianasofia06
marianasofia06 marianasofia06
  • 01-11-2021
  • Mathematics
contestada

What value should be added to both sides for completing the square in this equation?
x^2 + 4x =12

a. 2
b. 4
c. 6
d. 0

Respuesta :

Amphitrite1040
Amphitrite1040 Amphitrite1040
  • 01-11-2021

Hey there!

x^2 + 4x = 12

SUBTRACT 12 to BOTH SIDES

x^2 + 4x - 12 = 12 - 12

SIMPLIFY IT

x^2 + 4x - 12 = 0

FACTOR the LEFT SIDE of your EQUATION

(x - 2)(x + 6) = 0

• EQUATION #1: x - 2 = 0

OR

• EQUATION #2: x + 6 = 0

SIMPLIFY IT

• EQUATION #1 answer: x = 2

OR

• EQUATION #2 answer: x = -6

OVERALL ANSWER: x = 2 or x = -6

YOUR ANSWER: x = 2 (Option A.)

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

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