Find the x-intercepts of the graph of the equation.
-$$y = \sqrt { 2 x + 5 } - \sqrt { x - 2 } - 3$$
A) 2,38
B) 3,8
C) 2
D) $- 2$

Question

Quizplus · Accepted Answer

Explanation:Set y = 0 and solve for x.0 = sqrt(2x + 5) - sqrt(x - 2) - 33 = sqrt(2x + 5) - sqrt(x - 2)9 = 2x + 5 - 2sqrt(2x + 5)(x - 2) + x - 29 = 3x + 3 - 2sqrt(2x + 5)(x - 2)6 = 3x - 2sqrt(2x + 5)(x - 2)3 = x - 2sqrt(2x + 5)(x - 2)3 = x - 2xsqrt(2x + 5) + 4sqrt(2x + 5)3 = -xsqrt(2x + 5) + 4sqrt(2x + 5)-1 = -xsqrt(2x + 5)1 = xsqrt(2x + 5)1 = x^2(2x + 5)1 = 2x^3 + 5x^20 = 2x^3 + 5x^2 - 10 = (2x - 1)(x^2 + 2x + 1)0 = (2x - 1)(x + 1)^2x = 1/2, x = -1The x-intercepts are (1/2, 0) and (-1, 0).

Find the X-Intercepts of the Graph of the Equation y=2x+5−x−2−3y = \sqrt { 2 x + 5 } - \sqrt { x - 2 } - 3y=2x+5​−x−2​−3

Find the X-Intercepts of the Graph of the Equation $y = \sqrt { 2 x + 5 } - \sqrt { x - 2 } - 3$