Solve 9649-s^24/31

Question

Simplify the expression

9649 - \frac{4}{31} s^{2}

Evaluate

9649 - s^{2} \times \frac{4}{31}

Solution

9649 - \frac{4}{31} s^{2}

Show Solution

\frac{1}{31} (299119 - 4 s^{2})

Evaluate

9649 - s^{2} \times \frac{4}{31}

Use the commutative property to reorder the terms

9649 - \frac{4}{31} s^{2}

Solution

\frac{1}{31} (299119 - 4 s^{2})

Show Solution

s_{1} = - \frac{299119}{2}, s_{2} = \frac{299119}{2}

Alternative Form

s_{1} \approx - 273.458863, s_{2} \approx 273.458863

Evaluate

9649 - s^{2} \times \frac{4}{31}

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

9649 - s^{2} \times \frac{4}{31} = 0

Use the commutative property to reorder the terms

9649 - \frac{4}{31} s^{2} = 0

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

- \frac{4}{31} s^{2} = 0 - 9649

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

- \frac{4}{31} s^{2} = - 9649

Change the signs on both sides of the equation

\frac{4}{31} s^{2} = 9649

Multiply by the reciprocal

\frac{4}{31} s^{2} \times \frac{31}{4} = 9649 \times \frac{31}{4}

Multiply

s^{2} = 9649 \times \frac{31}{4}

Multiply

More Steps

Evaluate

9649 \times \frac{31}{4}

Multiply the numbers

\frac{9649 \times 31}{4}

Multiply the numbers

\frac{299119}{4}

s^{2} = \frac{299119}{4}

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

s = \pm \frac{299119}{4}

Simplify the expression

More Steps

Evaluate

\frac{299119}{4}

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

\frac{299119}{4}

Simplify the radical expression

More Steps

Evaluate

4

Write the number in exponential form with the base of 2

2^{2}

Reduce the index of the radical and exponent with 2

2

\frac{299119}{2}

s = \pm \frac{299119}{2}

Separate the equation into 2 possible cases

s = \frac{299119}{2} s = - \frac{299119}{2}

Solution

s_{1} = - \frac{299119}{2}, s_{2} = \frac{299119}{2}

Alternative Form

s_{1} \approx - 273.458863, s_{2} \approx 273.458863

Show Solution