what is the solution to the equation $sqrt{8x}=sqrt{4 + 2x}$?\n$p=\frac{2}{5}$\n$p=\frac{2}{3}$\n$p =…
what is the solution to the equation $sqrt{8x}=sqrt{4 + 2x}$?\n$p=\frac{2}{5}$\n$p=\frac{2}{3}$\n$p = 24$\n$p = 40$
Answer
Explanation:
Step1: Square both sides
Since $\sqrt{8x}=\sqrt{4 + 2x}$, squaring both sides gives $8x=4 + 2x$.
Step2: Isolate the variable
Subtract $2x$ from both sides: $8x-2x=4+2x - 2x$, which simplifies to $6x = 4$.
Step3: Solve for $x$
Divide both sides by 6: $x=\frac{4}{6}=\frac{2}{3}$.
Answer:
$x=\frac{2}{3}$