Solve 5x^4-82310-10-0

Question

Simplify the expression

5 x^{4} - 82320

Evaluate

5 x^{4} - 82310 - 10 - 0

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

5 x^{4} - 82310 - 10

Solution

5 x^{4} - 82320

Show Solution

5 (x^{4} - 16464)

Evaluate

5 x^{4} - 82310 - 10 - 0

Subtract the numbers

5 x^{4} - 82320 - 0

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

5 x^{4} - 82320

Solution

5 (x^{4} - 16464)

Show Solution

x_{1} = - 241029, x_{2} = 241029

Alternative Form

x_{1} \approx - 11.327494, x_{2} \approx 11.327494

Evaluate

5 x^{4} - 82310 - 10 - 0

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

5 x^{4} - 82310 - 10 - 0 = 0

Subtract the numbers

5 x^{4} - 82320 - 0 = 0

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

5 x^{4} - 82320 = 0

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

5 x^{4} = 0 + 82320

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

5 x^{4} = 82320

Divide both sides

\frac{5 x ^{4}}{5} = \frac{82320}{5}

Divide the numbers

x^{4} = \frac{82320}{5}

Divide the numbers

More Steps

Evaluate

\frac{82320}{5}

Reduce the numbers

\frac{16464}{1}

Calculate

16464

x^{4} = 16464

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

x = \pm 416464

Simplify the expression

More Steps

Evaluate

416464

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

4 16 \times 1029

Write the number in exponential form with the base of 2

4 2^{4} \times 1029

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

4 2^{4} \times 41029

Reduce the index of the radical and exponent with 4

241029

x = \pm 241029

Separate the equation into 2 possible cases

x = 241029 x = - 241029

Solution

x_{1} = - 241029, x_{2} = 241029

Alternative Form

x_{1} \approx - 11.327494, x_{2} \approx 11.327494

Show Solution