Solve s^20546-25 - ScanMath

Question

Simplify the expression

546 s^{2} - 25

Evaluate

s^{2} \times 546 - 25

Solution

546 s^{2} - 25

Show Solution

s_{1} = - \frac{5 546}{546}, s_{2} = \frac{5 546}{546}

Alternative Form

s_{1} \approx - 0.21398, s_{2} \approx 0.21398

Evaluate

s^{2} \times 546 - 25

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

s^{2} \times 546 - 25 = 0

Use the commutative property to reorder the terms

546 s^{2} - 25 = 0

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

546 s^{2} = 0 + 25

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

546 s^{2} = 25

Divide both sides

\frac{546 s ^{2}}{546} = \frac{25}{546}

Divide the numbers

s^{2} = \frac{25}{546}

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

s = \pm \frac{25}{546}

Simplify the expression

More Steps

Evaluate

\frac{25}{546}

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

\frac{25}{546}

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}{546}

Multiply by the Conjugate

\frac{5 546}{546 \times 546}

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

\frac{5 546}{546}

s = \pm \frac{5 546}{546}

Separate the equation into 2 possible cases

s = \frac{5 546}{546} s = - \frac{5 546}{546}

Solution

s_{1} = - \frac{5 546}{546}, s_{2} = \frac{5 546}{546}

Alternative Form

s_{1} \approx - 0.21398, s_{2} \approx 0.21398

Show Solution