Algebra Examples

${(2 x - 17)}^{\frac{2}{3}} - {(17 x)}^{\frac{1}{3}} = 0$

Step 1

Apply the product rule to $17 x$ .

${(2 x - 17)}^{\frac{2}{3}} - (17^{\frac{1}{3}} x^{\frac{1}{3}}) = 0$

Step 2

Remove parentheses.

${(2 x - 17)}^{\frac{2}{3}} - 17^{\frac{1}{3}} x^{\frac{1}{3}} = 0$

Step 3

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

$x \approx \frac{17}{4}, 17$

Step 4