Question

how do i solve a a problem like this? plz explain in detail

Answer 1

\[\sqrt{3x+4} = 1 + \sqrt{3x-11}\]

Answer 2

square both sides first

Answer 3

3x+4 = 1+3x-11 +2(3x-11)^1/2

Answer 4

but then how do I get rid of the radical so I can solve for x?

Answer 5

14=2(3x-11)^1/2
7= (3x-11)^1/2
squaring again we get

Answer 6

49=3x-11
3x=60
x=20

Answer 7

oh I see...thanks!

Answer 8

good one !!