Find the x-intercepts of the graph of the equation.
-$$y = \sqrt { x + 6 } + \sqrt { 2 - x } - 4$$
A) $- 2$
B) $2 , - 2$
C) 0
D) $\sqrt { 31 } , - 2$ Find all values of x satisfying the given conditions.

Question

Quizplus · Accepted Answer

To find the x-intercepts, set $y = 0$ and solve for $x$: $$0 = \sqrt { x + 6 } + \sqrt { 2 - x } - 4.$$ Isolating one of the square roots and squaring both sides can eventually lead to finding $x = -2$ as the solution that satisfies the original equation.

Find the X-Intercepts of the Graph of the Equation y=x+6+2−x−4y = \sqrt { x + 6 } + \sqrt { 2 - x } - 4y=x+6​+2−x​−4

Find the X-Intercepts of the Graph of the Equation $y = \sqrt { x + 6 } + \sqrt { 2 - x } - 4$