Solve 13169 : 13-5x^4

Question

Simplify the expression

1013 - 5 x^{4}

Evaluate

13169 \div 13 - 5 x^{4}

Solution

1013 - 5 x^{4}

Show Solution

x_{1} = - \frac{4 126625}{5}, x_{2} = \frac{4 126625}{5}

Alternative Form

x_{1} \approx - 3.772766, x_{2} \approx 3.772766

Evaluate

13169 \div 13 - 5 x^{4}

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

13169 \div 13 - 5 x^{4} = 0

Divide the numbers

1013 - 5 x^{4} = 0

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

- 5 x^{4} = 0 - 1013

Removing 0 doesn't change the value,so remove it from the expression

- 5 x^{4} = - 1013

Change the signs on both sides of the equation

5 x^{4} = 1013

Divide both sides

\frac{5 x ^{4}}{5} = \frac{1013}{5}

Divide the numbers

x^{4} = \frac{1013}{5}

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

x = \pm 4 \frac{1013}{5}

Simplify the expression

More Steps

Evaluate

4 \frac{1013}{5}

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

\frac{4 1013}{4 5}

Multiply by the Conjugate

\frac{4 1013 \times 4 5 ^{3}}{4 5 \times 4 5 ^{3}}

Simplify

\frac{4 1013 \times 4 125}{4 5 \times 4 5 ^{3}}

Multiply the numbers

More Steps

Evaluate

41013 \times 4125

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

4 1013 \times 125

Calculate the product

4126625

\frac{4 126625}{4 5 \times 4 5 ^{3}}

Multiply the numbers

More Steps

Evaluate

45 \times 4 5^{3}

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

4 5 \times 5^{3}

Calculate the product

4 5^{4}

Reduce the index of the radical and exponent with 4

5

\frac{4 126625}{5}

x = \pm \frac{4 126625}{5}

Separate the equation into 2 possible cases

x = \frac{4 126625}{5} x = - \frac{4 126625}{5}

Solution

x_{1} = - \frac{4 126625}{5}, x_{2} = \frac{4 126625}{5}

Alternative Form

x_{1} \approx - 3.772766, x_{2} \approx 3.772766

Show Solution