Solve -5x^45-89=-9041

Question

Solve the equation

x_{1} = - \frac{4 223800}{5}, x_{2} = \frac{4 223800}{5}

Alternative Form

x_{1} \approx - 4.350058, x_{2} \approx 4.350058

Evaluate

- 5 x^{4} \times 5 - 89 = - 9041

Multiply the terms

- 25 x^{4} - 89 = - 9041

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

- 25 x^{4} = - 9041 + 89

Add the numbers

- 25 x^{4} = - 8952

Change the signs on both sides of the equation

25 x^{4} = 8952

Divide both sides

\frac{25 x ^{4}}{25} = \frac{8952}{25}

Divide the numbers

x^{4} = \frac{8952}{25}

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm 4 \frac{8952}{25}

Simplify the expression

More Steps

Evaluate

4 \frac{8952}{25}

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

\frac{4 8952}{4 25}

Simplify the radical expression

More Steps

Evaluate

425

Write the number in exponential form with the base of 5

4 5^{2}

Reduce the index of the radical and exponent with 2

5

\frac{4 8952}{5}

Multiply by the Conjugate

\frac{4 8952 \times 5}{5 \times 5}

Multiply the numbers

More Steps

Evaluate

48952 \times 5

Use n a = mn a^{m} to expand the expression

48952 \times 4 5^{2}

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

4 8952 \times 5^{2}

Calculate the product

4223800

\frac{4 223800}{5 \times 5}

When a square root of an expression is multiplied by itself,the result is that expression

\frac{4 223800}{5}

x = \pm \frac{4 223800}{5}

Separate the equation into 2 possible cases

x = \frac{4 223800}{5} x = - \frac{4 223800}{5}

Solution

x_{1} = - \frac{4 223800}{5}, x_{2} = \frac{4 223800}{5}

Alternative Form

x_{1} \approx - 4.350058, x_{2} \approx 4.350058

Show Solution