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anonymous
 5 years ago
√(9x+67) =x+5 solve
anonymous
 5 years ago
√(9x+67) =x+5 solve

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0square both sides. \[9x+67=(x+5)^2\] \[9x+67=x^2+10x+25\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[x^2+x42=0\] now factor \[(x+7)(x6)=0\] so we get \[x=7\] or \[x=6\] and now we have to check the answers because we squared.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[\sqrt{9\times 6+67}=6+5\] \[\sqrt{54+67}=11\] \[\sqrt{121}=11\] checks

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.07 doesn't work because the left hand side \[7+5=2\] is negative and the square root of anything is positive

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so the answer is x=6?
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