Question

Find the solution for
2(√x+1)(√2x+3)=

Answer 1

Step-by-step explanation:

Now we have given the expression as:

                   √(x+1) + √(2x - 5) = 3

                   √(x+1) = 3 - √(2x - 5)

Now squaring on both sides, we get:

                   x + 1 = ( 3 - √(2x - 5) )^2

                   x + 1 = 9 + 2x - 5 - 6√(2x - 5)

                   6√(2x - 5) = 9 + 2x - 5 - x - 1

                   6√(2x - 5) = 3 + x

Now again squaring on both sides, we get:

                   36(2x - 5) = (x + 3)^2

                   72x - 180 = x^2 + 9 + 6x

                   x^2 - 66x + 189 = 0

                   x^2 - 63x - 3x + 189 = 0

                   x(x-63) - 3(x-63) = 0

                   (x - 3)(x-63) = 0

                   x = 3,63