SOLUTION: x^2 + 15^2 = 5 times the square root of 13 ^2

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Question 189888: x^2 + 15^2 = 5 times the square root of 13 ^2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Is the equation x%5E2%2B15%5E2=%285%2Asqrt%2813%29%29%5E2 ????


x%5E2%2B15%5E2=%285%2Asqrt%2813%29%29%5E2 Start with the given equation.


x%5E2%2B15%5E2=%285%5E2%29%2A%28sqrt%2813%29%29%5E2 Square each factor


x%5E2%2B15%5E2=25%2A%2813%29 Square 5 to get 25. Square sqrt%2813%29 to get 13


x%5E2%2B15%5E2=325 Multiply


x%5E2%2B225=325 Square 15 to get 225.


x%5E2=325-225 Subtract 225 from both sides.


x%5E2=100 Combine like terms.


x=%22%22%2B-sqrt%28100%29 Take the square root of both sides


x=sqrt%28100%29 or x=-sqrt%28100%29 Break up the "plus/minus" to form two equations.


x=10 or x=-10 Take the square root of 100 to get 10.



So the solutions are x=10 or x=-10


If "x" is a distance or length, then this means that the negative answer doesn't make much sense. So if "x" is a length or distance, then the only answer is x=10