Solve s^4802-85-0

Question

Simplify the expression

802 s^{4} - 85

Evaluate

s^{4} \times 802 - 85 - 0

Use the commutative property to reorder the terms

802 s^{4} - 85 - 0

Solution

802 s^{4} - 85

Show Solution

s_{1} = - \frac{4 85 \times 80 2 ^{3}}{802}, s_{2} = \frac{4 85 \times 80 2 ^{3}}{802}

Alternative Form

s_{1} \approx - 0.570573, s_{2} \approx 0.570573

Evaluate

s^{4} \times 802 - 85 - 0

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

s^{4} \times 802 - 85 - 0 = 0

Use the commutative property to reorder the terms

802 s^{4} - 85 - 0 = 0

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

802 s^{4} - 85 = 0

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

802 s^{4} = 0 + 85

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

802 s^{4} = 85

Divide both sides

\frac{802 s ^{4}}{802} = \frac{85}{802}

Divide the numbers

s^{4} = \frac{85}{802}

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

s = \pm 4 \frac{85}{802}

Simplify the expression

More Steps

Evaluate

4 \frac{85}{802}

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

\frac{4 85}{4 802}

Multiply by the Conjugate

\frac{4 85 \times 4 80 2 ^{3}}{4 802 \times 4 80 2 ^{3}}

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

\frac{4 85 \times 80 2 ^{3}}{4 802 \times 4 80 2 ^{3}}

Multiply the numbers

More Steps

Evaluate

4802 \times 4 80 2^{3}

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

4 802 \times 80 2^{3}

Calculate the product

4 80 2^{4}

Reduce the index of the radical and exponent with 4

802

\frac{4 85 \times 80 2 ^{3}}{802}

s = \pm \frac{4 85 \times 80 2 ^{3}}{802}

Separate the equation into 2 possible cases

s = \frac{4 85 \times 80 2 ^{3}}{802} s = - \frac{4 85 \times 80 2 ^{3}}{802}

Solution

s_{1} = - \frac{4 85 \times 80 2 ^{3}}{802}, s_{2} = \frac{4 85 \times 80 2 ^{3}}{802}

Alternative Form

s_{1} \approx - 0.570573, s_{2} \approx 0.570573

Show Solution