Solve the equation.
-$\sqrt { 20 x - 60 } = x + 2$

Name: Solve the equation. -$\sqrt { 20 x - 60 } = x + 2$
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Question

Quizplus · Accepted Answer

Squaring both sides of the equation $\sqrt{20x - 60} = x + 2$ gives $20x - 60 = (x + 2)^2$. Simplifying, we get $20x - 60 = x^2 + 4x + 4$. Rearranging terms, we have $x^2 - 16x + 64 = 0$. Solving this quadratic equation, we find the solutions $x = 8$ and $x = 8$. Checking these in the original equation, only $x = 8$ is valid.

Solve the Equation 20x−60=x+2\sqrt { 20 x - 60 } = x + 220x−60​=x+2

Solve the Equation $\sqrt { 20 x - 60 } = x + 2$