Question

can someone check my work?
solve √(2x-1)=x-8
i came up with x=13 x=5. may i ask which one it is ?

Answer 1

if you put back x=5
you'll get \(\sqrt{9} =-3 \)
which isn't true...its just +3 and not -3

Answer 2

x=13 is correct.

Answer 3

the reason you got 2 values instead of one is that you might have squared both sides of that equation. this adds/attaches one more root to the equation which may not satisfy the original equation.

Answer 4

oooh. thanks :) i understand now. i did square both sides because i did not understand which property to do..

Answer 5

ok, welcome ^_^
glad i could help :)