Solve 13x/2x^2-7 - ScanMath

Evaluate

(13 \times \frac{x}{2}) x^{2} - 7

To find the roots of the expression,set the expression equal to 0

(13 \times \frac{x}{2}) x^{2} - 7 = 0

Multiply the terms

\frac{13 x}{2} x^{2} - 7 = 0

Multiply the terms

More Steps

\frac{13 x ^{3}}{2} - 7 = 0

Subtract the terms

More Steps

\frac{13 x ^{3} - 14}{2} = 0

Simplify

13 x^{3} - 14 = 0

Move the constant to the right side

13 x^{3} = 14

Divide both sides

\frac{13 x ^{3}}{13} = \frac{14}{13}

Divide the numbers

x^{3} = \frac{14}{13}

Take the 3 -th root on both sides of the equation

3 x^{3} = 3 \frac{14}{13}

Calculate

x = 3 \frac{14}{13}

Solution

More Steps

x = \frac{3 2366}{13}

Alternative Form

x \approx 1.02501

Simplify the expression