SOLUTION: find the unknown in the equation x^2+45=53

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Question 215110: find the unknown in the equation x^2+45=53
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2%2B45=53 Start with the given equation.


x%5E2=53-45 Subtract 45 from both sides.


x%5E2=8 Combine like terms.


x=%22%22%2B-sqrt%288%29 Take the square root of both sides.


x=sqrt%288%29 or x=-sqrt%288%29 Break up the "plus/minus" to form two equations.


x=2%2Asqrt%282%29 or x=-2%2Asqrt%282%29 Simplify the square root.

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Answer:


So the solutions are x=2%2Asqrt%282%29 or x=-2%2Asqrt%282%29.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
find the unknown in the equation x^2+45=53
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x^2 = 53-45
x^2 = 8
x = sqrt(8)
x = sqrt(4*2)
x = sqrt(4)*sqrt(2)
x = 2sqrt(2)
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x could also be -2sqrt(2)
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Cheers,
Stan H.