Solve x^2 5x=24 - ScanMath

Question

Solve the equation

x = \frac{2 3 75}{5}

Alternative Form

x \approx 1.686865

Evaluate

x^{2} \times 5 x = 24

Multiply

More Steps

Evaluate

x^{2} \times 5 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 5

Add the numbers

x^{3} \times 5

Use the commutative property to reorder the terms

5 x^{3}

5 x^{3} = 24

Divide both sides

\frac{5 x ^{3}}{5} = \frac{24}{5}

Divide the numbers

x^{3} = \frac{24}{5}

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

3 x^{3} = 3 \frac{24}{5}

Calculate

x = 3 \frac{24}{5}

Solution

More Steps

Evaluate

3 \frac{24}{5}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{3 24}{3 5}

Simplify the radical expression

More Steps

Evaluate

324

Write the expression as a product where the root of one of the factors can be evaluated

3 8 \times 3

Write the number in exponential form with the base of 2

3 2^{3} \times 3

The root of a product is equal to the product of the roots of each factor

3 2^{3} \times 33

Reduce the index of the radical and exponent with 3

233

\frac{2 3 3}{3 5}

Multiply by the Conjugate

\frac{2 3 3 \times 3 5 ^{2}}{3 5 \times 3 5 ^{2}}

Simplify

\frac{2 3 3 \times 3 25}{3 5 \times 3 5 ^{2}}

Multiply the numbers

More Steps

Evaluate

33 \times 325

The product of roots with the same index is equal to the root of the product

3 3 \times 25

Calculate the product

375

\frac{2 3 75}{3 5 \times 3 5 ^{2}}

Multiply the numbers

More Steps

Evaluate

35 \times 3 5^{2}

The product of roots with the same index is equal to the root of the product

3 5 \times 5^{2}

Calculate the product

3 5^{3}

Reduce the index of the radical and exponent with 3

5

\frac{2 3 75}{5}

x = \frac{2 3 75}{5}

Alternative Form

x \approx 1.686865

Show Solution