Solve s^22013/311-3

Question

Simplify the expression

\frac{2013}{311} s^{2} - 3

Evaluate

s^{2} \times \frac{2013}{311} - 3

Solution

\frac{2013}{311} s^{2} - 3

Show Solution

\frac{3}{311} (671 s^{2} - 311)

Evaluate

s^{2} \times \frac{2013}{311} - 3

Use the commutative property to reorder the terms

\frac{2013}{311} s^{2} - 3

Solution

\frac{3}{311} (671 s^{2} - 311)

Show Solution

s_{1} = - \frac{208681}{671}, s_{2} = \frac{208681}{671}

Alternative Form

s_{1} \approx - 0.680799, s_{2} \approx 0.680799

Evaluate

s^{2} \times \frac{2013}{311} - 3

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

s^{2} \times \frac{2013}{311} - 3 = 0

Use the commutative property to reorder the terms

\frac{2013}{311} s^{2} - 3 = 0

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

\frac{2013}{311} s^{2} = 0 + 3

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

\frac{2013}{311} s^{2} = 3

Multiply by the reciprocal

\frac{2013}{311} s^{2} \times \frac{311}{2013} = 3 \times \frac{311}{2013}

Multiply

s^{2} = 3 \times \frac{311}{2013}

Multiply

More Steps

Evaluate

3 \times \frac{311}{2013}

Reduce the numbers

1 \times \frac{311}{671}

Multiply the numbers

\frac{311}{671}

s^{2} = \frac{311}{671}

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

s = \pm \frac{311}{671}

Simplify the expression

More Steps

Evaluate

\frac{311}{671}

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

\frac{311}{671}

Multiply by the Conjugate

\frac{311 \times 671}{671 \times 671}

Multiply the numbers

More Steps

Evaluate

311 \times 671

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

311 \times 671

Calculate the product

208681

\frac{208681}{671 \times 671}

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

\frac{208681}{671}

s = \pm \frac{208681}{671}

Separate the equation into 2 possible cases

s = \frac{208681}{671} s = - \frac{208681}{671}

Solution

s_{1} = - \frac{208681}{671}, s_{2} = \frac{208681}{671}

Alternative Form

s_{1} \approx - 0.680799, s_{2} \approx 0.680799

Show Solution