SOLUTION: (2z-3)1/2=9 the (2z-3) is raised to the 1/2 power.

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Question 157919: (2z-3)1/2=9
the (2z-3) is raised to the 1/2 power.

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
(2z-3)1/2=9
Re-writing: %282z-3%29%5E%281%2F2%29=9 ----------------------> working eqn
%28%282z-3%29%5E%281%2F2%29%29%5E2=9%5E2, square both sides to cancell exponent:
%28%282z-3%29%5E%281%2Fcross%282%29%29%29%5Ecross%282%29=81
2z=81%2B3, combine similar terms
cross%282%29z=cross%2884%2942%2Fcross%282%29
z=42
To check go back working eqn:
%282%2842%29-3%29%5E%281%2F2%29=9
%2884-3%29%5E%281%2F2%29=9
%2881%29%5E%281%2F2%29=9
9=9
Thank you,
Jojo