Solve s^20514-25 - ScanMath

Question

Simplify the expression

514 s^{2} - 25

Evaluate

s^{2} \times 514 - 25

Solution

514 s^{2} - 25

Show Solution

s_{1} = - \frac{5 514}{514}, s_{2} = \frac{5 514}{514}

Alternative Form

s_{1} \approx - 0.220541, s_{2} \approx 0.220541

Evaluate

s^{2} \times 514 - 25

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

s^{2} \times 514 - 25 = 0

Use the commutative property to reorder the terms

514 s^{2} - 25 = 0

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

514 s^{2} = 0 + 25

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

514 s^{2} = 25

Divide both sides

\frac{514 s ^{2}}{514} = \frac{25}{514}

Divide the numbers

s^{2} = \frac{25}{514}

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

s = \pm \frac{25}{514}

Simplify the expression

More Steps

Evaluate

\frac{25}{514}

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

\frac{25}{514}

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{5}{514}

Multiply by the Conjugate

\frac{5 514}{514 \times 514}

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

\frac{5 514}{514}

s = \pm \frac{5 514}{514}

Separate the equation into 2 possible cases

s = \frac{5 514}{514} s = - \frac{5 514}{514}

Solution

s_{1} = - \frac{5 514}{514}, s_{2} = \frac{5 514}{514}

Alternative Form

s_{1} \approx - 0.220541, s_{2} \approx 0.220541

Show Solution