Solve s^4802-94-0

Question

Simplify the expression

802 s^{4} - 94

Evaluate

s^{4} \times 802 - 94 - 0

Use the commutative property to reorder the terms

802 s^{4} - 94 - 0

Solution

802 s^{4} - 94

Show Solution

2 (401 s^{4} - 47)

Evaluate

s^{4} \times 802 - 94 - 0

Use the commutative property to reorder the terms

802 s^{4} - 94 - 0

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

802 s^{4} - 94

Solution

2 (401 s^{4} - 47)

Show Solution

s_{1} = - \frac{4 47 \times 40 1 ^{3}}{401}, s_{2} = \frac{4 47 \times 40 1 ^{3}}{401}

Alternative Form

s_{1} \approx - 0.585111, s_{2} \approx 0.585111

Evaluate

s^{4} \times 802 - 94 - 0

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

s^{4} \times 802 - 94 - 0 = 0

Use the commutative property to reorder the terms

802 s^{4} - 94 - 0 = 0

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

802 s^{4} - 94 = 0

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

802 s^{4} = 0 + 94

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

802 s^{4} = 94

Divide both sides

\frac{802 s ^{4}}{802} = \frac{94}{802}

Divide the numbers

s^{4} = \frac{94}{802}

Cancel out the common factor 2

s^{4} = \frac{47}{401}

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

s = \pm 4 \frac{47}{401}

Simplify the expression

More Steps

Evaluate

4 \frac{47}{401}

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

\frac{4 47}{4 401}

Multiply by the Conjugate

\frac{4 47 \times 4 40 1 ^{3}}{4 401 \times 4 40 1 ^{3}}

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

\frac{4 47 \times 40 1 ^{3}}{4 401 \times 4 40 1 ^{3}}

Multiply the numbers

More Steps

Evaluate

4401 \times 4 40 1^{3}

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

4 401 \times 40 1^{3}

Calculate the product

4 40 1^{4}

Reduce the index of the radical and exponent with 4

401

\frac{4 47 \times 40 1 ^{3}}{401}

s = \pm \frac{4 47 \times 40 1 ^{3}}{401}

Separate the equation into 2 possible cases

s = \frac{4 47 \times 40 1 ^{3}}{401} s = - \frac{4 47 \times 40 1 ^{3}}{401}

Solution

s_{1} = - \frac{4 47 \times 40 1 ^{3}}{401}, s_{2} = \frac{4 47 \times 40 1 ^{3}}{401}

Alternative Form

s_{1} \approx - 0.585111, s_{2} \approx 0.585111

Show Solution