Solve 2s^2 11s-6=0

Question

Solve the equation

s = \frac{3 363}{11}

Alternative Form

s \approx 0.648499

Evaluate

2 s^{2} \times 11 s - 6 = 0

Multiply

More Steps

Evaluate

2 s^{2} \times 11 s

Multiply the terms

22 s^{2} \times s

Multiply the terms with the same base by adding their exponents

22 s^{2 + 1}

Add the numbers

22 s^{3}

22 s^{3} - 6 = 0

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

22 s^{3} = 0 + 6

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

22 s^{3} = 6

Divide both sides

\frac{22 s ^{3}}{22} = \frac{6}{22}

Divide the numbers

s^{3} = \frac{6}{22}

Cancel out the common factor 2

s^{3} = \frac{3}{11}

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

3 s^{3} = 3 \frac{3}{11}

Calculate

s = 3 \frac{3}{11}

Solution

More Steps

Evaluate

3 \frac{3}{11}

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

\frac{3 3}{3 11}

Multiply by the Conjugate

\frac{3 3 \times 3 1 1 ^{2}}{3 11 \times 3 1 1 ^{2}}

Simplify

\frac{3 3 \times 3 121}{3 11 \times 3 1 1 ^{2}}

Multiply the numbers

More Steps

Evaluate

33 \times 3121

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

3 3 \times 121

Calculate the product

3363

\frac{3 363}{3 11 \times 3 1 1 ^{2}}

Multiply the numbers

More Steps

Evaluate

311 \times 3 1 1^{2}

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

3 11 \times 1 1^{2}

Calculate the product

3 1 1^{3}

Reduce the index of the radical and exponent with 3

11

\frac{3 363}{11}

s = \frac{3 363}{11}

Alternative Form

s \approx 0.648499

Show Solution