Solve by Factoring (x-10)^(2/5)=(9x)^(1/5)

${(x - 10)}^{\frac{2}{5}} = {(9 x)}^{\frac{1}{5}}$

Step 1

Subtract ${(9 x)}^{\frac{1}{5}}$ from both sides of the equation.

${(x - 10)}^{\frac{2}{5}} - {(9 x)}^{\frac{1}{5}} = 0$

Step 2

Apply the product rule to $9 x$ .

${(x - 10)}^{\frac{2}{5}} - 9^{\frac{1}{5}} x^{\frac{1}{5}} = 0$

Step 3

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x \approx 4, 25$

Step 4