Solve.
-$$\sqrt { 5 x - 9 } = 3 - x$$
A) 9
B) 2,9
C) 2
D) $\varnothing$

Name: Solve. -\[\sqrt { 5 x - 9 } = 3 - x\] A) 9 B) 2,9 C) 2 D) $\varnothing$
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Question

Quizplus · Accepted Answer

Squaring both sides gives $5x - 9 = (3 - x)^2$. Simplifying, we get $5x - 9 = 9 - 6x + x^2$. Rearranging gives $x^2 - 11x + 18 = 0$. Solving this quadratic equation, we find $x = 2$ and $x = 9$. Checking both solutions in the original equation, only $x = 2$ satisfies it.

Solve - 5x−9=3−x\sqrt { 5 x - 9 } = 3 - x5x−9​=3−x

Solve
- $\sqrt { 5 x - 9 } = 3 - x$