Solve for $$x$$: $$\sqrt{x^2+3} = x + 1$$

Question

Solve for $$x$$: $$\sqrt{x^2+3}  = x + 1$$

Uniteasy Admin · Accepted Answer

$$\sqrt{x^2+3}  = x + 1$$
Square both sides to remove radical
$$(\sqrt{x^2+3} )^2=(x+1)^2$$
Expand perfect square polynomial
$$x^2+3 = x^2+2x+1$$
Combine the like terms
$$2 = 2x$$
Divide both sides by $$2$$
$$x = 1$$

Multiple Choice Question (MCQ)

Answer