Solve s^225-22300-41

Question

Simplify the expression

25 s^{2} - 22341

Evaluate

s^{2} \times 25 - 22300 - 41

Use the commutative property to reorder the terms

25 s^{2} - 22300 - 41

Solution

25 s^{2} - 22341

Show Solution

s_{1} = - \frac{22341}{5}, s_{2} = \frac{22341}{5}

Alternative Form

s_{1} \approx - 29.893812, s_{2} \approx 29.893812

Evaluate

s^{2} \times 25 - 22300 - 41

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

s^{2} \times 25 - 22300 - 41 = 0

Use the commutative property to reorder the terms

25 s^{2} - 22300 - 41 = 0

Subtract the numbers

25 s^{2} - 22341 = 0

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

25 s^{2} = 0 + 22341

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

25 s^{2} = 22341

Divide both sides

\frac{25 s ^{2}}{25} = \frac{22341}{25}

Divide the numbers

s^{2} = \frac{22341}{25}

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

s = \pm \frac{22341}{25}

Simplify the expression

More Steps

Evaluate

\frac{22341}{25}

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

\frac{22341}{25}

Simplify the radical expression

More Steps

Evaluate

25

Write the number in exponential form with the base of 5

5^{2}

Reduce the index of the radical and exponent with 2

5

\frac{22341}{5}

s = \pm \frac{22341}{5}

Separate the equation into 2 possible cases

s = \frac{22341}{5} s = - \frac{22341}{5}

Solution

s_{1} = - \frac{22341}{5}, s_{2} = \frac{22341}{5}

Alternative Form

s_{1} \approx - 29.893812, s_{2} \approx 29.893812

Show Solution