Solve s^20556-25 - ScanMath

Question

Simplify the expression

556 s^{2} - 25

Evaluate

s^{2} \times 556 - 25

Solution

556 s^{2} - 25

Show Solution

s_{1} = - \frac{5 139}{278}, s_{2} = \frac{5 139}{278}

Alternative Form

s_{1} \approx - 0.212047, s_{2} \approx 0.212047

Evaluate

s^{2} \times 556 - 25

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

s^{2} \times 556 - 25 = 0

Use the commutative property to reorder the terms

556 s^{2} - 25 = 0

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

556 s^{2} = 0 + 25

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

556 s^{2} = 25

Divide both sides

\frac{556 s ^{2}}{556} = \frac{25}{556}

Divide the numbers

s^{2} = \frac{25}{556}

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

s = \pm \frac{25}{556}

Simplify the expression

More Steps

Evaluate

\frac{25}{556}

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

\frac{25}{556}

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}{556}

Simplify the radical expression

More Steps

Evaluate

556

Write the expression as a product where the root of one of the factors can be evaluated

4 \times 139

Write the number in exponential form with the base of 2

2^{2} \times 139

The root of a product is equal to the product of the roots of each factor

2^{2} \times 139

Reduce the index of the radical and exponent with 2

2139

\frac{5}{2 139}

Multiply by the Conjugate

\frac{5 139}{2 139 \times 139}

Multiply the numbers

More Steps

Evaluate

2139 \times 139

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

2 \times 139

Multiply the terms

278

\frac{5 139}{278}

s = \pm \frac{5 139}{278}

Separate the equation into 2 possible cases

s = \frac{5 139}{278} s = - \frac{5 139}{278}

Solution

s_{1} = - \frac{5 139}{278}, s_{2} = \frac{5 139}{278}

Alternative Form

s_{1} \approx - 0.212047, s_{2} \approx 0.212047

Show Solution