Answer :
Answer:
(x+7/2)^2-1/4
Step-by-step explanation:
x^2 +7x +12 = 0
Write x^2+7x+12 in the form x^2+2ax+a^2: 2a=7; a=7/2
Add and subtract 7/2^2: x^2+7x+12+(7/2)^2-(7/2)^2
Complete the square: (x+7/2)^2+12-(7/2)^2
Simplify: (x+7/2)^2-1/4
Answer:
(x+7/2)^2-1/4
Step-by-step explanation:
x^2 +7x +12 = 0
Write x^2+7x+12 in the form x^2+2ax+a^2: 2a=7; a=7/2
Add and subtract 7/2^2: x^2+7x+12+(7/2)^2-(7/2)^2
Complete the square: (x+7/2)^2+12-(7/2)^2
Simplify: (x+7/2)^2-1/4