SOLUTION: Help solving this problem; y-2-8 sqrt(y-2) +15= 0

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Question 141041: Help solving this problem; y-2-8 sqrt(y-2) +15= 0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
y-2-8%2Asqrt%28y-2%29+%2B15=+0 Start with the given equation


y-8%2Asqrt%28y-2%29+%2B13=+0 Combine like terms


y-8%2Asqrt%28y-2%29=-13 Subtract 13 from both sides


-8%2Asqrt%28y-2%29=-13-y Subtract y from both sides


64%28y-2%29=%28-13-y%29%5E2 Square both sides


64%28y-2%29=169%2B26y%2By%5E2 Foil the right side


64y-128=169%2B26y%2By%5E2 Distribute


0=169%2B26y%2By%5E2-64y%2B128 Subtract 64y from both sides. Add 128 to both sides.


0=y%5E2-38y%2B297 Combine like terms



0=%28y-27%29%28y-11%29 Factor the right side (note: if you need help with factoring, check out this solver)



Now set each factor equal to zero:
y-27=0 or y-11=0

y=27 or y=11 Now solve for y in each case


So our answers are

y=27 or y=11