Solve s^4490-e40 - ScanMath

Question

Simplify the expression

490 s^{4} - 40 e

Evaluate

s^{4} \times 490 - e \times 40

Use the commutative property to reorder the terms

490 s^{4} - e \times 40

Solution

490 s^{4} - 40 e

Show Solution

10 (49 s^{4} - 4 e)

Evaluate

s^{4} \times 490 - e \times 40

Use the commutative property to reorder the terms

490 s^{4} - e \times 40

Use the commutative property to reorder the terms

490 s^{4} - 40 e

Solution

10 (49 s^{4} - 4 e)

Show Solution

s_{1} = - \frac{4 196 e}{7}, s_{2} = \frac{4 196 e}{7}

Alternative Form

s_{1} \approx - 0.68634, s_{2} \approx 0.68634

Evaluate

s^{4} \times 490 - e \times 40

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

s^{4} \times 490 - e \times 40 = 0

Use the commutative property to reorder the terms

490 s^{4} - e \times 40 = 0

Use the commutative property to reorder the terms

490 s^{4} - 40 e = 0

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

490 s^{4} = 0 + 40 e

Add the terms

490 s^{4} = 40 e

Divide both sides

\frac{490 s ^{4}}{490} = \frac{40 e}{490}

Divide the numbers

s^{4} = \frac{40 e}{490}

Cancel out the common factor 10

s^{4} = \frac{4 e}{49}

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

s = \pm 4 \frac{4 e}{49}

Simplify the expression

More Steps

Evaluate

4 \frac{4 e}{49}

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

\frac{4 4 e}{4 49}

Simplify the radical expression

More Steps

Evaluate

449

Write the number in exponential form with the base of 7

4 7^{2}

Reduce the index of the radical and exponent with 2

7

\frac{4 4 e}{7}

Multiply by the Conjugate

\frac{4 4 e \times 7}{7 \times 7}

Multiply the numbers

More Steps

Evaluate

4 4 e \times 7

Use n a = mn a^{m} to expand the expression

4 4 e \times 4 7^{2}

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

4 4 e \times 7^{2}

Calculate the product

4 196 e

\frac{4 196 e}{7 \times 7}

When a square root of an expression is multiplied by itself,the result is that expression

\frac{4 196 e}{7}

s = \pm \frac{4 196 e}{7}

Separate the equation into 2 possible cases

s = \frac{4 196 e}{7} s = - \frac{4 196 e}{7}

Solution

s_{1} = - \frac{4 196 e}{7}, s_{2} = \frac{4 196 e}{7}

Alternative Form

s_{1} \approx - 0.68634, s_{2} \approx 0.68634

Show Solution