Solve s^2913-41090

Question

Simplify the expression

913 s^{2} - 41090

Evaluate

s^{2} \times 913 - 41090

Solution

913 s^{2} - 41090

Show Solution

s_{1} = - \frac{37515170}{913}, s_{2} = \frac{37515170}{913}

Alternative Form

s_{1} \approx - 6.708612, s_{2} \approx 6.708612

Evaluate

s^{2} \times 913 - 41090

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

s^{2} \times 913 - 41090 = 0

Use the commutative property to reorder the terms

913 s^{2} - 41090 = 0

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

913 s^{2} = 0 + 41090

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

913 s^{2} = 41090

Divide both sides

\frac{913 s ^{2}}{913} = \frac{41090}{913}

Divide the numbers

s^{2} = \frac{41090}{913}

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

s = \pm \frac{41090}{913}

Simplify the expression

More Steps

Evaluate

\frac{41090}{913}

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

\frac{41090}{913}

Multiply by the Conjugate

\frac{41090 \times 913}{913 \times 913}

Multiply the numbers

More Steps

Evaluate

41090 \times 913

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

41090 \times 913

Calculate the product

37515170

\frac{37515170}{913 \times 913}

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

\frac{37515170}{913}

s = \pm \frac{37515170}{913}

Separate the equation into 2 possible cases

s = \frac{37515170}{913} s = - \frac{37515170}{913}

Solution

s_{1} = - \frac{37515170}{913}, s_{2} = \frac{37515170}{913}

Alternative Form

s_{1} \approx - 6.708612, s_{2} \approx 6.708612

Show Solution