Solve s^2340-11820

Question

Simplify the expression

Solution

340 s^{2} - 11820

Evaluate

s^{2} \times 340 - 11820

Solution

340 s^{2} - 11820

Show Solution

Factor

20 (17 s^{2} - 591)

Evaluate

s^{2} \times 340 - 11820

Use the commutative property to reorder the terms

340 s^{2} - 11820

Solution

20 (17 s^{2} - 591)

Show Solution

Find the roots of the algebra expression

s_{1} = - \frac{10047}{17}, s_{2} = \frac{10047}{17}

Alternative Form

s_{1} \approx - 5.89616, s_{2} \approx 5.89616

Evaluate

s^{2} \times 340 - 11820

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

s^{2} \times 340 - 11820 = 0

Use the commutative property to reorder the terms

340 s^{2} - 11820 = 0

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

340 s^{2} = 0 + 11820

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

340 s^{2} = 11820

Divide both sides

\frac{340 s ^{2}}{340} = \frac{11820}{340}

Divide the numbers

s^{2} = \frac{11820}{340}

Cancel out the common factor 20

s^{2} = \frac{591}{17}

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

s = \pm \frac{591}{17}

Simplify the expression

More Steps

Evaluate

\frac{591}{17}

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

\frac{591}{17}

Multiply by the Conjugate

\frac{591 \times 17}{17 \times 17}

Multiply the numbers

More Steps

Evaluate

591 \times 17

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

591 \times 17

Calculate the product

10047

\frac{10047}{17 \times 17}

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

\frac{10047}{17}

s = \pm \frac{10047}{17}

Separate the equation into 2 possible cases

s = \frac{10047}{17} s = - \frac{10047}{17}

Solution

s_{1} = - \frac{10047}{17}, s_{2} = \frac{10047}{17}

Alternative Form

s_{1} \approx - 5.89616, s_{2} \approx 5.89616

Show Solution