Solve Radical Equations
Solve the radical equation, and check all proposed solutions.
-$$y = \sqrt { 2 x + 5 } - \sqrt { x - 2 } - 3$$
A) 2,38
B) 3,8
C) 2
D) $- 2$

Question

Quizplus · Accepted Answer

Squaring both sides of the equation produces $2x+5+x-2-6\sqrt{(2x+5)(x-2)}=9$. Solving this quadratic equation produces $x=2$ and $x=3$. Checking these values in the original equation shows that $x=2$ is a solution.

Solve Radical Equations Solve the Radical Equation, and Check All y=2x+5−x−2−3y = \sqrt { 2 x + 5 } - \sqrt { x - 2 } - 3y=2x+5​−x−2​−3

Solve Radical Equations
Solve the Radical Equation, and Check All $y = \sqrt { 2 x + 5 } - \sqrt { x - 2 } - 3$