SOLUTION: Solve. a. (x+4)squared -5= 31 b. 14+(x+12)squared=35

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Question 344564: Solve.
a. (x+4)squared -5= 31
b. 14+(x+12)squared=35
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
a. (x+4)^2-5=31
x^2+8x+16-5=31
x^2+8x+11-31=0
x^2+8x-20
(x+10)(x-2)=0
x+10=0
x=-10 ans.
x-2=0
x=2 ans.
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b. 14+(x+12)^2=35
14+x^2+24x+144=35
x^2+24x+158-35=0
x^2+24x+123=0
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x=(-24+-sqrt[24^2-4*1*-123])/2*1
x=(-24+-sqrt576+492])/2
x=(-24+-sqrt1068)/2
x=(-24+32.68)/2
x=8.68/2
x=4.34 ans.
x=(-24-32.68)/2
x=-56.68/2
x=-28.34 ans.
x=