SOLUTION: x+ square root of x+5 = 7 please help me solve this problem.

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Question 144308This question is from textbook College Algebra
: x+ square root of x+5 = 7
please help me solve this problem. This question is from textbook College Algebra

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

x%2B+sqrt%28x%2B5%29+=+7
sqrt%28x%2B5%29+=+7+-x
%28sqrt%28x%2B5%29%29%5E2+=+%287+-x%29%5E2
x%2B5+=+7%5E2-14x+%2Bx%5E2
x%2B5+=+49+-14x+%2Bx%5E2
0=x%5E2-14x+-x+%2B+49+-5+
x%5E2-15x+%2B+44=0+
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%28-%28-15%29+%2B-+sqrt%28+%28-15%29%5E2-4%2A1%2A44+%29%29%2F%282%2A1%29+
x+=+%2815+%2B-+sqrt%28+225+-176%29%29%2F2+
x+=+%2815+%2B-+sqrt%2849%29%29%2F2+
x+=+%2815+%2B-+%287%29%29%2F2+
x1+=+%2815+%2B+7%29%2F2+
x1+=+22%2F2+
x1+=+11+.........one solution
x2+=+%2815+-+7%29%2F2+
x2+=+8%2F2+
x2+=+4+............other solution