x-sqrt(2x+1) = 7

Question

My answer:
same as:

x - 7 = sqrt(2x+1)
==>

x^2 - 14x + 49 = 2x+1 ==>

x^2 - 16x + 48 = 0

split this up into:

(x - 12) * ( x - 4 ) = 0

so, x can technically be 12 or 4

12 - sqrt(24+1) does = 7

x=12

Answer 1

wrong...
x^2 times (2x+1 )
equals 2x^3 + 2x^2 -7 =0

Answer 2

ohhh I'm so sorry. I misread the question...but your answer is still wrong
you would square both sides by 2
and then and up w/ 2x+1 = 49

Answer 3

What about the x?

Answer 4

Maria, you are correct

x = 12 is the right answer, since x= 4 does not verify when you try it back in the original.