SOLUTION: solve for z the square root of4z+12= the sruare root of9z-11

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Question 292619: solve for z the square root of4z+12= the sruare root of9z-11
Found 2 solutions by Fombitz, stanbon:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%284z%2B12%29=+sqrt%289z-11%29
Square both sides.
4z%2B12=9z-11
-5z=-23
z=23%2F5
Verify the solution.
sqrt%284z%2B12%29=+sqrt%289z-11%29
sqrt%284%2823%2F5%29%2B12%29=+sqrt%289%2823%2F5%29-11%29
sqrt%2892%2F5%2B60%2F5%29=+sqrt%28207%2F5-55%2F5%29
sqrt%28%2892%2B60%29%2F5%29=+sqrt%28%28207-55%29%2F5%29
sqrt%28152%2F5%29=+sqrt%28152%2F5%29
Leads to a true statement, hence it's a good solution.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
solve for z the square root of 4z+12= the square root of 9z-11
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sqrt(4z+12) = sqrt(9z-11)
4z+12 = 9z-12
5z = 24
z = 4 4/5
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Cheers,
Stan H.
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