Solve 7s^235s-98 - ScanMath

Question

Simplify the expression

245 s^{3} - 98

Evaluate

7 s^{2} \times 35 s - 98

Solution

More Steps

Evaluate

7 s^{2} \times 35 s

Multiply the terms

245 s^{2} \times s

Multiply the terms with the same base by adding their exponents

245 s^{2 + 1}

Add the numbers

245 s^{3}

245 s^{3} - 98

Show Solution

Factor the expression

49 (5 s^{3} - 2)

Evaluate

7 s^{2} \times 35 s - 98

Multiply

More Steps

Evaluate

7 s^{2} \times 35 s

Multiply the terms

245 s^{2} \times s

Multiply the terms with the same base by adding their exponents

245 s^{2 + 1}

Add the numbers

245 s^{3}

245 s^{3} - 98

Solution

49 (5 s^{3} - 2)

Show Solution

Find the roots

s = \frac{3 50}{5}

Alternative Form

s \approx 0.736806

Evaluate

7 s^{2} \times 35 s - 98

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

7 s^{2} \times 35 s - 98 = 0

Multiply

More Steps

Multiply the terms

7 s^{2} \times 35 s

Multiply the terms

245 s^{2} \times s

Multiply the terms with the same base by adding their exponents

245 s^{2 + 1}

Add the numbers

245 s^{3}

245 s^{3} - 98 = 0

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

245 s^{3} = 0 + 98

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

245 s^{3} = 98

Divide both sides

\frac{245 s ^{3}}{245} = \frac{98}{245}

Divide the numbers

s^{3} = \frac{98}{245}

Cancel out the common factor 49

s^{3} = \frac{2}{5}

Take the 3 -th root on both sides of the equation

3 s^{3} = 3 \frac{2}{5}

Calculate

s = 3 \frac{2}{5}

Solution

More Steps

Evaluate

3 \frac{2}{5}

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

\frac{3 2}{3 5}

Multiply by the Conjugate

\frac{3 2 \times 3 5 ^{2}}{3 5 \times 3 5 ^{2}}

Simplify

\frac{3 2 \times 3 25}{3 5 \times 3 5 ^{2}}

Multiply the numbers

More Steps

Evaluate

32 \times 325

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

3 2 \times 25

Calculate the product

350

\frac{3 50}{3 5 \times 3 5 ^{2}}

Multiply the numbers

More Steps

Evaluate

35 \times 3 5^{2}

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

3 5 \times 5^{2}

Calculate the product

3 5^{3}

Reduce the index of the radical and exponent with 3

5

\frac{3 50}{5}

s = \frac{3 50}{5}

Alternative Form

s \approx 0.736806

Show Solution