Rewrite the equation by completing the square. x^2 +7x +12 = 0

Mathematics

1 answer:

andrew11 [14]3 years ago

6 0

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

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