SOLUTION: Can someone please help me!! √9x+67=x+5

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Question 402199: Can someone please help me!!
√9x+67=x+5

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
If I m understanding Your question properly:
sqrt%289x+%2B+67%29+=+x%2B5 |squaring both sides of the equation
9x + 67 = (x + 5)(x+ 5)
9x + 67 = x^2 + 10 + 25
x^2 + x - 42 = 0
factoring
(x + 7)(x - 6)=0 Note:SUM of the inner product(7x) and the outer product(-6x) =x
(x + 7)= 0 x = -7
(x - 6)=0 x = 6
CHECKING our Answer(s)***
sqrt%28+54%2B67%29+=+sqrt%28+121%29+=+11+=+6+%2B+5+
sqrt%28+-63%2B67%29+=+sqrt%28+4%29+=+2+=+-7+%2B+5+