Solve -4=-5x x^2-2

Question

Solve the equation

x = \frac{3 50}{5}

Alternative Form

x \approx 0.736806

Evaluate

- 4 = - 5 x \times x^{2} - 2

Multiply

More Steps

Evaluate

- 5 x \times x^{2}

Multiply the terms with the same base by adding their exponents

- 5 x^{1 + 2}

Add the numbers

- 5 x^{3}

- 4 = - 5 x^{3} - 2

Swap the sides of the equation

- 5 x^{3} - 2 = - 4

Move the constant to the right-hand side and change its sign

- 5 x^{3} = - 4 + 2

Add the numbers

- 5 x^{3} = - 2

Change the signs on both sides of the equation

5 x^{3} = 2

Divide both sides

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

Divide the numbers

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

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

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

Calculate

x = 3 \frac{2}{5}

Solution

More Steps

Evaluate

3 \frac{2}{5}

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

\frac{3 2}{3 5}

Multiply by the Conjugate

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

Simplify

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

Multiply the numbers

More Steps

Evaluate

32 \times 325

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

3 2 \times 25

Calculate the product

350

\frac{3 50}{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{3 50}{5}

x = \frac{3 50}{5}

Alternative Form

x \approx 0.736806

Show Solution