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Algebra

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I do not understand radical equations.
12 times the square root of z-1=3 times the square root 3z+1050.

  • Algebra -

    If 12 times the square root of z-1=3 times the square root 3z+1050

    mean :

    12 * sqrt ( z - 1 ) = 3 * sqrt ( 3 z + 1050 )

    then :

    12 * sqrt ( z - 1 ) = 3 * sqrt ( 3 z + 1050 ) squared both sides

    12 ^ 2 * ( z - 1 ) = 3 ^ 2 * ( 3 z + 1050 )

    144 * ( z - 1 ) = 9 * ( 3 z + 1050 )

    144 z - 144 = 9 * 3 z + 9 * 1050

    144 z - 144 = 27 z + 9450

    144 z - 27 z = 9450 + 144

    117 z = 9594 Divide both sides by 117

    z = 9594 / 117

    z = 82

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