Algebra
posted by Taurus on .
I do not understand radical equations.
12 times the square root of z1=3 times the square root 3z+1050.

If 12 times the square root of z1=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