Solve s^417-8-10 - ScanMath

Question

Simplify the expression

17 s^{4} - 18

Evaluate

s^{4} \times 17 - 8 - 10

Use the commutative property to reorder the terms

17 s^{4} - 8 - 10

Solution

17 s^{4} - 18

Show Solution

s_{1} = - \frac{4 88434}{17}, s_{2} = \frac{4 88434}{17}

Alternative Form

s_{1} \approx - 1.014392, s_{2} \approx 1.014392

Evaluate

s^{4} \times 17 - 8 - 10

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

s^{4} \times 17 - 8 - 10 = 0

Use the commutative property to reorder the terms

17 s^{4} - 8 - 10 = 0

Subtract the numbers

17 s^{4} - 18 = 0

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

17 s^{4} = 0 + 18

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

17 s^{4} = 18

Divide both sides

\frac{17 s ^{4}}{17} = \frac{18}{17}

Divide the numbers

s^{4} = \frac{18}{17}

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

s = \pm 4 \frac{18}{17}

Simplify the expression

More Steps

Evaluate

4 \frac{18}{17}

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

\frac{4 18}{4 17}

Multiply by the Conjugate

\frac{4 18 \times 4 1 7 ^{3}}{4 17 \times 4 1 7 ^{3}}

Simplify

\frac{4 18 \times 4 4913}{4 17 \times 4 1 7 ^{3}}

Multiply the numbers

More Steps

Evaluate

418 \times 44913

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

4 18 \times 4913

Calculate the product

488434

\frac{4 88434}{4 17 \times 4 1 7 ^{3}}

Multiply the numbers

More Steps

Evaluate

417 \times 4 1 7^{3}

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

4 17 \times 1 7^{3}

Calculate the product

4 1 7^{4}

Reduce the index of the radical and exponent with 4

17

\frac{4 88434}{17}

s = \pm \frac{4 88434}{17}

Separate the equation into 2 possible cases

s = \frac{4 88434}{17} s = - \frac{4 88434}{17}

Solution

s_{1} = - \frac{4 88434}{17}, s_{2} = \frac{4 88434}{17}

Alternative Form

s_{1} \approx - 1.014392, s_{2} \approx 1.014392

Show Solution