Solve s^40991-16-4-6 (2)

Question

Simplify the expression

991 s^{4} - 32

Evaluate

s^{4} \times 991 - 16 - 4 - 6 \times 2

Use the commutative property to reorder the terms

991 s^{4} - 16 - 4 - 6 \times 2

Multiply the numbers

991 s^{4} - 16 - 4 - 12

Solution

991 s^{4} - 32

Show Solution

s_{1} = - \frac{2 4 2 \times 99 1 ^{3}}{991}, s_{2} = \frac{2 4 2 \times 99 1 ^{3}}{991}

Alternative Form

s_{1} \approx - 0.423906, s_{2} \approx 0.423906

Evaluate

s^{4} \times 991 - 16 - 4 - 6 \times 2

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

s^{4} \times 991 - 16 - 4 - 6 \times 2 = 0

Use the commutative property to reorder the terms

991 s^{4} - 16 - 4 - 6 \times 2 = 0

Multiply the numbers

991 s^{4} - 16 - 4 - 12 = 0

Subtract the numbers

991 s^{4} - 20 - 12 = 0

Subtract the numbers

991 s^{4} - 32 = 0

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

991 s^{4} = 0 + 32

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

991 s^{4} = 32

Divide both sides

\frac{991 s ^{4}}{991} = \frac{32}{991}

Divide the numbers

s^{4} = \frac{32}{991}

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

s = \pm 4 \frac{32}{991}

Simplify the expression

More Steps

Evaluate

4 \frac{32}{991}

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

\frac{4 32}{4 991}

Simplify the radical expression

More Steps

Evaluate

432

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

4 16 \times 2

Write the number in exponential form with the base of 2

4 2^{4} \times 2

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

4 2^{4} \times 42

Reduce the index of the radical and exponent with 4

242

\frac{2 4 2}{4 991}

Multiply by the Conjugate

\frac{2 4 2 \times 4 99 1 ^{3}}{4 991 \times 4 99 1 ^{3}}

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

\frac{2 4 2 \times 99 1 ^{3}}{4 991 \times 4 99 1 ^{3}}

Multiply the numbers

More Steps

Evaluate

4991 \times 4 99 1^{3}

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

4 991 \times 99 1^{3}

Calculate the product

4 99 1^{4}

Reduce the index of the radical and exponent with 4

991

\frac{2 4 2 \times 99 1 ^{3}}{991}

s = \pm \frac{2 4 2 \times 99 1 ^{3}}{991}

Separate the equation into 2 possible cases

s = \frac{2 4 2 \times 99 1 ^{3}}{991} s = - \frac{2 4 2 \times 99 1 ^{3}}{991}

Solution

s_{1} = - \frac{2 4 2 \times 99 1 ^{3}}{991}, s_{2} = \frac{2 4 2 \times 99 1 ^{3}}{991}

Alternative Form

s_{1} \approx - 0.423906, s_{2} \approx 0.423906

Show Solution