Solve.
-$$\sqrt { 5 x - 3 } = \sqrt { x + 6 }$$
A) $\frac { 1 } { 2 }$
B) $\frac { 3 } { 4 }$
C) $\frac { 9 } { 4 }$
D) $\frac { 9 } { 5 }$

Question

Quizplus · Accepted Answer

To solve the equation $\sqrt{5x - 3} = \sqrt{x + 6}$, we square both sides to eliminate the square roots: $(\sqrt{5x - 3})^2 = (\sqrt{x + 6})^2$, which simplifies to $5x - 3 = x + 6$. Solving for $x$, we get $5x - x = 6 + 3$, leading to $4x = 9$, and thus $x = \frac{9}{4}$.

Solve - 5x−3=x+6\sqrt { 5 x - 3 } = \sqrt { x + 6 }5x−3​=x+6​

Solve
- $\sqrt { 5 x - 3 } = \sqrt { x + 6 }$