Solve for $$x$$: $$\sqrt{x^2- 35} = 5 – x$$

Question

Solve for $$x$$: $$\sqrt{x^2- 35}   = 5 – x$$

Uniteasy Admin · Accepted Answer

$$\sqrt{x^2- 35}   = 5 – x$$
Square both sides  
$$(\sqrt{x^2- 35})^2   = (5 – x)^2$$
raise both sides to the index of the radical, expand the perfect square
$$x^2-35 = 25+x^2-10x$$
Combine like terms
$$-60 = -10x$$
Solve for $$x$$
$$x = 6$$
A is the correct answer

Multiple Choice Question (MCQ)

Answer