Asked by lauren
Solve.
(sqrt. x + 1) - (sqrt. 2x -12) = 1
The answers I reached were x = 8 and 24. If you plug in 8, you will get 1 as an answer. If you plug in 24, however, you will not get 1 as an answer.
Please see if 8 is the only solution. If not, please show me how to solve to find the other solutions.
(sqrt. x + 1) - (sqrt. 2x -12) = 1
The answers I reached were x = 8 and 24. If you plug in 8, you will get 1 as an answer. If you plug in 24, however, you will not get 1 as an answer.
Please see if 8 is the only solution. If not, please show me how to solve to find the other solutions.
Answers
Answered by
Reiny
After squaring twice, I also got x=8 or x=24
Whatever solutions we get after "squaring" both sides of an equation must be verified.
so for x = 8
Left Side = √(8+1) - √(16-12)
= 3 - 2
= 1
= right side
for x=24
left side = √24+1 - √(48-12)
= 5 - 6
= -1
which is NOT the right side.
so the only solution is x = 8
Whatever solutions we get after "squaring" both sides of an equation must be verified.
so for x = 8
Left Side = √(8+1) - √(16-12)
= 3 - 2
= 1
= right side
for x=24
left side = √24+1 - √(48-12)
= 5 - 6
= -1
which is NOT the right side.
so the only solution is x = 8