Solve 2021/s^206-537629

Question

Simplify the expression

\frac{12126 - 537629 s ^{2}}{s ^{2}}

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s = 0

Show Solution

s_{1} = - \frac{3525846}{12503}, s_{2} = \frac{3525846}{12503}

Alternative Form

s_{1} \approx - 0.150182, s_{2} \approx 0.150182

Evaluate

\frac{2021}{s ^{2}} \times 6 - 537629

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

\frac{2021}{s ^{2}} \times 6 - 537629 = 0

The only way a power can not be 0 is when the base not equals 0

\frac{2021}{s ^{2}} \times 6 - 537629 = 0, s \neq = 0

Calculate

\frac{2021}{s ^{2}} \times 6 - 537629 = 0

Multiply the terms

More Steps

\frac{12126}{s ^{2}} - 537629 = 0

Subtract the terms

More Steps

\frac{12126 - 537629 s ^{2}}{s ^{2}} = 0

Cross multiply

12126 - 537629 s^{2} = s^{2} \times 0

Simplify the equation

12126 - 537629 s^{2} = 0

Rewrite the expression

- 537629 s^{2} = - 12126

Change the signs on both sides of the equation

537629 s^{2} = 12126

Divide both sides

\frac{537629 s ^{2}}{537629} = \frac{12126}{537629}

Divide the numbers

s^{2} = \frac{12126}{537629}

Cancel out the common factor 43

s^{2} = \frac{282}{12503}

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

s = \pm \frac{282}{12503}

Simplify the expression

More Steps

s = \pm \frac{3525846}{12503}

Separate the equation into 2 possible cases

s = \frac{3525846}{12503} s = - \frac{3525846}{12503}

Check if the solution is in the defined range

s = \frac{3525846}{12503} s = - \frac{3525846}{12503}, s \neq = 0

Find the intersection of the solution and the defined range

s = \frac{3525846}{12503} s = - \frac{3525846}{12503}

Solution

s_{1} = - \frac{3525846}{12503}, s_{2} = \frac{3525846}{12503}

Alternative Form

s_{1} \approx - 0.150182, s_{2} \approx 0.150182

Show Solution