Solve s^2276-21070

Question

Simplify the expression

276 s^{2} - 21070

Evaluate

s^{2} \times 276 - 21070

Solution

276 s^{2} - 21070

Show Solution

2 (138 s^{2} - 10535)

Evaluate

s^{2} \times 276 - 21070

Use the commutative property to reorder the terms

276 s^{2} - 21070

Solution

2 (138 s^{2} - 10535)

Show Solution

s_{1} = - \frac{7 29670}{138}, s_{2} = \frac{7 29670}{138}

Alternative Form

s_{1} \approx - 8.73731, s_{2} \approx 8.73731

Evaluate

s^{2} \times 276 - 21070

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

s^{2} \times 276 - 21070 = 0

Use the commutative property to reorder the terms

276 s^{2} - 21070 = 0

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

276 s^{2} = 0 + 21070

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

276 s^{2} = 21070

Divide both sides

\frac{276 s ^{2}}{276} = \frac{21070}{276}

Divide the numbers

s^{2} = \frac{21070}{276}

Cancel out the common factor 2

s^{2} = \frac{10535}{138}

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

s = \pm \frac{10535}{138}

Simplify the expression

More Steps

Evaluate

\frac{10535}{138}

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

\frac{10535}{138}

Simplify the radical expression

More Steps

Evaluate

10535

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

49 \times 215

Write the number in exponential form with the base of 7

7^{2} \times 215

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

7^{2} \times 215

Reduce the index of the radical and exponent with 2

7215

\frac{7 215}{138}

Multiply by the Conjugate

\frac{7 215 \times 138}{138 \times 138}

Multiply the numbers

More Steps

Evaluate

215 \times 138

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

215 \times 138

Calculate the product

29670

\frac{7 29670}{138 \times 138}

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

\frac{7 29670}{138}

s = \pm \frac{7 29670}{138}

Separate the equation into 2 possible cases

s = \frac{7 29670}{138} s = - \frac{7 29670}{138}

Solution

s_{1} = - \frac{7 29670}{138}, s_{2} = \frac{7 29670}{138}

Alternative Form

s_{1} \approx - 8.73731, s_{2} \approx 8.73731

Show Solution