SOLUTION: solving an equation with exponent using the even root property, where y is a real number. (y+6)^2-75=0

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Question 326574: solving an equation with exponent using the even root property, where y is a real number.
(y+6)^2-75=0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28y%2B6%29%5E2-75=0 Start with the given equation.


%28y%2B6%29%5E2=0%2B75Add 75 to both sides.


%28y%2B6%29%5E2=75 Combine like terms.


x%2B6=%22%22%2B-sqrt%2875%29 Take the square root of both sides.


y%2B6=sqrt%2875%29 or y%2B6=-sqrt%2875%29 Break up the "plus/minus" to form two equations.


y%2B6=5%2Asqrt%283%29 or y%2B6=-5%2Asqrt%283%29 Simplify the square root.


y=-6%2B5%2Asqrt%283%29 or y=-6-5%2Asqrt%283%29 Subtract 6 from both sides.


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Answer:


So the solutions are y=-6%2B5%2Asqrt%283%29 or y=-6-5%2Asqrt%283%29.