Solve.
-$$\sqrt { 2 x + 3 } = 1 + \sqrt { x + 1 }$$
A) 1,3
B) $- 3,1$
C) $- 1,3$
D) $\varnothing$

Question

Quizplus · Accepted Answer

To solve the equation, first isolate one of the square roots and square both sides to eliminate it. After simplifying, solve the resulting quadratic equation. Check the solutions in the original equation to ensure they are valid, as squaring can introduce extraneous solutions. The valid solutions are -1 and 3.

Solve - 2x+3=1+x+1\sqrt { 2 x + 3 } = 1 + \sqrt { x + 1 }2x+3​=1+x+1​

Solve
- $\sqrt { 2 x + 3 } = 1 + \sqrt { x + 1 }$