Solve 4 1/6-(1/5a^2 1/3)

Question

Simplify the expression

\frac{25}{6} - \frac{1}{15} a^{2}

Show Solution

\frac{1}{30} (125 - 2 a^{2})

Show Solution

a_{1} = - \frac{5 10}{2}, a_{2} = \frac{5 10}{2}

Alternative Form

a_{1} \approx - 7.905694, a_{2} \approx 7.905694

Evaluate

4 \frac{1}{6} - (\frac{1}{5} a^{2} \times \frac{1}{3})

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

4 \frac{1}{6} - (\frac{1}{5} a^{2} \times \frac{1}{3}) = 0

Multiply the terms

More Steps

4 \frac{1}{6} - \frac{1}{15} a^{2} = 0

Covert the mixed number to an improper fraction

More Steps

\frac{25}{6} - \frac{1}{15} a^{2} = 0

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

- \frac{1}{15} a^{2} = 0 - \frac{25}{6}

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

- \frac{1}{15} a^{2} = - \frac{25}{6}

Change the signs on both sides of the equation

\frac{1}{15} a^{2} = \frac{25}{6}

Multiply by the reciprocal

\frac{1}{15} a^{2} \times 15 = \frac{25}{6} \times 15

Multiply

a^{2} = \frac{25}{6} \times 15

Multiply

More Steps

a^{2} = \frac{125}{2}

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

a = \pm \frac{125}{2}

Simplify the expression

More Steps

a = \pm \frac{5 10}{2}

Separate the equation into 2 possible cases

a = \frac{5 10}{2} a = - \frac{5 10}{2}

Solution

a_{1} = - \frac{5 10}{2}, a_{2} = \frac{5 10}{2}

Alternative Form

a_{1} \approx - 7.905694, a_{2} \approx 7.905694

Show Solution