Solve s^20732-16 - ScanMath

Question

Simplify the expression

732 s^{2} - 16

Evaluate

s^{2} \times 732 - 16

Solution

732 s^{2} - 16

Show Solution

4 (183 s^{2} - 4)

Evaluate

s^{2} \times 732 - 16

Use the commutative property to reorder the terms

732 s^{2} - 16

Solution

4 (183 s^{2} - 4)

Show Solution

s_{1} = - \frac{2 183}{183}, s_{2} = \frac{2 183}{183}

Alternative Form

s_{1} \approx - 0.147844, s_{2} \approx 0.147844

Evaluate

s^{2} \times 732 - 16

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

s^{2} \times 732 - 16 = 0

Use the commutative property to reorder the terms

732 s^{2} - 16 = 0

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

732 s^{2} = 0 + 16

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

732 s^{2} = 16

Divide both sides

\frac{732 s ^{2}}{732} = \frac{16}{732}

Divide the numbers

s^{2} = \frac{16}{732}

Cancel out the common factor 4

s^{2} = \frac{4}{183}

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

s = \pm \frac{4}{183}

Simplify the expression

More Steps

Evaluate

\frac{4}{183}

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

\frac{4}{183}

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{2}{183}

Multiply by the Conjugate

\frac{2 183}{183 \times 183}

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

\frac{2 183}{183}

s = \pm \frac{2 183}{183}

Separate the equation into 2 possible cases

s = \frac{2 183}{183} s = - \frac{2 183}{183}

Solution

s_{1} = - \frac{2 183}{183}, s_{2} = \frac{2 183}{183}

Alternative Form

s_{1} \approx - 0.147844, s_{2} \approx 0.147844

Show Solution