Solve (x^2 7x)/2-270 - ScanMath

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Question

Simplify the expression

\frac{7 x ^{3} - 540}{2}

Show Solution

Find the roots

x = \frac{3 3 980}{7}

Alternative Form

x \approx 4.25695

Evaluate

\frac{x ^{2} \times 7 x}{2} - 270

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

\frac{x ^{2} \times 7 x}{2} - 270 = 0

Multiply

More Steps

\frac{7 x ^{3}}{2} - 270 = 0

Subtract the terms

More Steps

\frac{7 x ^{3} - 540}{2} = 0

Simplify

7 x^{3} - 540 = 0

Move the constant to the right side

7 x^{3} = 540

Divide both sides

\frac{7 x ^{3}}{7} = \frac{540}{7}

Divide the numbers

x^{3} = \frac{540}{7}

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

3 x^{3} = 3 \frac{540}{7}

Calculate

x = 3 \frac{540}{7}

Solution

More Steps

x = \frac{3 3 980}{7}

Alternative Form

x \approx 4.25695

Show Solution