SOLUTION: Solve the equation for ALL solutions. Squareroot(2D-3)=D-9 I'm a little confused, I came up with D=14 but also show D=6 & 14. Not sure which is correct on my homework these are b

Algebra ->  Square-cubic-other-roots -> SOLUTION: Solve the equation for ALL solutions. Squareroot(2D-3)=D-9 I'm a little confused, I came up with D=14 but also show D=6 & 14. Not sure which is correct on my homework these are b      Log On


   

Question 191206: Solve the equation for ALL solutions.
Squareroot(2D-3)=D-9
I'm a little confused, I came up with D=14 but also show D=6 & 14. Not sure which is correct on my homework these are both choices. One choice is D=6 and the other choice is D=6 and 14.
Answer by solver91311(24713) About Me  (Show Source):
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Square both sides:



Collect terms and put the equation in standard quadratic form:



Factor:



Hence:



or



Check the answers:






14 checks





6 is an extraneous root introduced by the operation of squaring the variable. Exclude this root.

Your answer is 14 only.

John