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Solve the quadratic equation by completing the square. =+x^2+16x +61=0

Solve the quadratic equation by completing the square. =+x^2+16x +61=0
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1 vote
Solve the quadratic equation by completing the square.
=+x^2+16x +61=0

User NotAChance
by
8.8k points

1 Answer

3 votes
x^2 + 16x + 61 = 0
x^2 + 16x = -61
x^2 + 16x + 64 = -61 + 64
(x + 8)^2 = 3
x + 8 = (+-) sqrt 3
x = -8 (+-) sqrt 3

x = -8 + sqrt 3...and x = -8 - sqrt 3 <== ur solutions

User Tobias Ritzau
by
7.5k points
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