Question

Can someone check this extraneous solution? Please

Answer 1

@jim_thompson5910 please check it?

Answer 2

x = 2 is incorrect

Answer 3

ok

Answer 4

you should have

3x+1 = 4 + 4*sqrt(x+1) + x+1

after you add sqrt(x+1) to both sides and square both sides

Then isolate sqrt(x+1) and square both sides again

Answer 5

16x^2+16x-4

Answer 6

3x+1 = 4 + 4*sqrt(x+1) + x+1

3x+1 - 4 - x - 1 = 4*sqrt(x+1)

2x - 4 = 4*sqrt(x+1)

(2x-4)^2 = (4sqrt(x+1))^2

4x^2 - 16x + 16 = 16(x+1)

I'll let you finish