Solve by completing the square: x^2+15=8x

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asked Sep 1, 2018 210k views

1 Answer

Andrew Alderson · Answer 1 · 2018-09-05T14:08:03+0000

x^2+15=8x
x^2-8x=-15
x^2 - 2 (x)(4) =-15
adding 16 on both sides
x^2 - 2 (x)(4) +16=-15+16
x^2 - 2 (x)(4) + 4^2= 1

(x-4)^2=1

taking square root on bothsides x-4 = +-1
so x-4=1 or x-4=-1
x-5 or x=3

Solve by completing the square: x^2+15=8x

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