Solve s^222-14746-91

Question

Simplify the expression

22 s^{2} - 14837

Evaluate

s^{2} \times 22 - 14746 - 91

Use the commutative property to reorder the terms

22 s^{2} - 14746 - 91

Solution

22 s^{2} - 14837

Show Solution

s_{1} = - \frac{326414}{22}, s_{2} = \frac{326414}{22}

Alternative Form

s_{1} \approx - 25.969388, s_{2} \approx 25.969388

Evaluate

s^{2} \times 22 - 14746 - 91

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

s^{2} \times 22 - 14746 - 91 = 0

Use the commutative property to reorder the terms

22 s^{2} - 14746 - 91 = 0

Subtract the numbers

22 s^{2} - 14837 = 0

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

22 s^{2} = 0 + 14837

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

22 s^{2} = 14837

Divide both sides

\frac{22 s ^{2}}{22} = \frac{14837}{22}

Divide the numbers

s^{2} = \frac{14837}{22}

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

s = \pm \frac{14837}{22}

Simplify the expression

More Steps

Evaluate

\frac{14837}{22}

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

\frac{14837}{22}

Multiply by the Conjugate

\frac{14837 \times 22}{22 \times 22}

Multiply the numbers

More Steps

Evaluate

14837 \times 22

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

14837 \times 22

Calculate the product

326414

\frac{326414}{22 \times 22}

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

\frac{326414}{22}

s = \pm \frac{326414}{22}

Separate the equation into 2 possible cases

s = \frac{326414}{22} s = - \frac{326414}{22}

Solution

s_{1} = - \frac{326414}{22}, s_{2} = \frac{326414}{22}

Alternative Form

s_{1} \approx - 25.969388, s_{2} \approx 25.969388

Show Solution