Sqrt(2x+3) +x = 1 Please note if there are any extraneous solutions. Steps please :)
Sqrt(2x+3) +x = 1 subtract x from both sides
Sqrt(2x+3) = 1 - x square both sides
2x + 3 = (1 - x) ^2
2x + 3 = x^2 - 2x + 1 re-arrange as
x^2 - 4x - 2 = 0 this will not factor
Using the quadratic formula, the possible solutions are
x = 2 - √6 or x = 2 + √6
And only the first answer is a solution of the equation.......the second is extraneous