Solve s^4934-51040

Question

Simplify the expression

934 s^{4} - 51040

Evaluate

s^{4} \times 934 - 51040

Solution

934 s^{4} - 51040

Show Solution

2 (467 s^{4} - 25520)

Evaluate

s^{4} \times 934 - 51040

Use the commutative property to reorder the terms

934 s^{4} - 51040

Solution

2 (467 s^{4} - 25520)

Show Solution

s_{1} = - \frac{2 4 1595 \times 46 7 ^{3}}{467}, s_{2} = \frac{2 4 1595 \times 46 7 ^{3}}{467}

Alternative Form

s_{1} \approx - 2.718886, s_{2} \approx 2.718886

Evaluate

s^{4} \times 934 - 51040

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

s^{4} \times 934 - 51040 = 0

Use the commutative property to reorder the terms

934 s^{4} - 51040 = 0

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

934 s^{4} = 0 + 51040

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

934 s^{4} = 51040

Divide both sides

\frac{934 s ^{4}}{934} = \frac{51040}{934}

Divide the numbers

s^{4} = \frac{51040}{934}

Cancel out the common factor 2

s^{4} = \frac{25520}{467}

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

s = \pm 4 \frac{25520}{467}

Simplify the expression

More Steps

Evaluate

4 \frac{25520}{467}

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

\frac{4 25520}{4 467}

Simplify the radical expression

More Steps

Evaluate

425520

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

4 16 \times 1595

Write the number in exponential form with the base of 2

4 2^{4} \times 1595

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

4 2^{4} \times 41595

Reduce the index of the radical and exponent with 4

241595

\frac{2 4 1595}{4 467}

Multiply by the Conjugate

\frac{2 4 1595 \times 4 46 7 ^{3}}{4 467 \times 4 46 7 ^{3}}

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

\frac{2 4 1595 \times 46 7 ^{3}}{4 467 \times 4 46 7 ^{3}}

Multiply the numbers

More Steps

Evaluate

4467 \times 4 46 7^{3}

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

4 467 \times 46 7^{3}

Calculate the product

4 46 7^{4}

Reduce the index of the radical and exponent with 4

467

\frac{2 4 1595 \times 46 7 ^{3}}{467}

s = \pm \frac{2 4 1595 \times 46 7 ^{3}}{467}

Separate the equation into 2 possible cases

s = \frac{2 4 1595 \times 46 7 ^{3}}{467} s = - \frac{2 4 1595 \times 46 7 ^{3}}{467}

Solution

s_{1} = - \frac{2 4 1595 \times 46 7 ^{3}}{467}, s_{2} = \frac{2 4 1595 \times 46 7 ^{3}}{467}

Alternative Form

s_{1} \approx - 2.718886, s_{2} \approx 2.718886

Show Solution