Solve 353/2018-s^2

Question

Factor the expression

\frac{1}{2018} (353 - 2018 s^{2})

Evaluate

\frac{353}{2018} - s^{2}

Solution

\frac{1}{2018} (353 - 2018 s^{2})

Show Solution

s_{1} = - \frac{712354}{2018}, s_{2} = \frac{712354}{2018}

Alternative Form

s_{1} \approx - 0.418241, s_{2} \approx 0.418241

Evaluate

\frac{353}{2018} - s^{2}

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

\frac{353}{2018} - s^{2} = 0

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

- s^{2} = 0 - \frac{353}{2018}

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

- s^{2} = - \frac{353}{2018}

Change the signs on both sides of the equation

s^{2} = \frac{353}{2018}

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

s = \pm \frac{353}{2018}

Simplify the expression

More Steps

Evaluate

\frac{353}{2018}

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

\frac{353}{2018}

Multiply by the Conjugate

\frac{353 \times 2018}{2018 \times 2018}

Multiply the numbers

More Steps

Evaluate

353 \times 2018

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

353 \times 2018

Calculate the product

712354

\frac{712354}{2018 \times 2018}

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

\frac{712354}{2018}

s = \pm \frac{712354}{2018}

Separate the equation into 2 possible cases

s = \frac{712354}{2018} s = - \frac{712354}{2018}

Solution

s_{1} = - \frac{712354}{2018}, s_{2} = \frac{712354}{2018}

Alternative Form

s_{1} \approx - 0.418241, s_{2} \approx 0.418241

Show Solution