math

30 = 8 times square root of (h - 40)

I have done this so many ways, I couldn't possibly show all my work. I do know the answer is 54, I just don't know how to get it!

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  1. 30 = 8 * sqroot ( h - 40 ) Divide both sides by 8

    30 / 8 = sqroot ( h - 40 )

    2 * 15 / ( 2 * 4 ) = sqroot ( h - 40 )

    15 / 4 = sqroot ( h - 40 ) Raise both sides to the power of two :

    ( 15 / 4 ) ^ 2 = h - 40

    225 / 16 = h - 40 Add 40 to both sides

    225 / 16 + 40 = h - 40 + 40

    225 / 16 + 40 = h

    225 / 16 + 40 * 16 / 16 = h

    225 / 16 + 640 / 16 = h

    865 / 16 = h

    h = 865 / 16

    h = 54.0625

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