Solve squareroot 2x3 squareroot x1 1 Solutionsqrt2x 3 sqrtx

Solve squareroot 2x+3 + squareroot x+1 =1.

sqrt(2x +3) +sqrt(x +1) = 1

sqrt(2x +3) = 1 - sqrt(x +1)

taking square of both sides:

(2x +3) = 1 + x +1 -2sqrt( x+1)

2x +3 = 2 +x -2sqrt(x+1)

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

taking square of both sides:

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

x^2 +1 +2x = 4x +4

x^2 -2x -3 =0

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

x( x-3) +1(x-3) =0

(x+1)(x-3) =0

x= -1 ; x= 3

Solution : x= -1 , 3