Solve 5a^2-7 - ScanMath

Evaluate

5 a^{2} - 7

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

5 a^{2} - 7 = 0

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

5 a^{2} = 0 + 7

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

5 a^{2} = 7

Divide both sides

\frac{5 a ^{2}}{5} = \frac{7}{5}

Divide the numbers

a^{2} = \frac{7}{5}

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

a = \pm \frac{7}{5}

Simplify the expression

More Steps

a = \pm \frac{35}{5}

Separate the equation into 2 possible cases

a = \frac{35}{5} a = - \frac{35}{5}

Solution

a_{1} = - \frac{35}{5}, a_{2} = \frac{35}{5}

Alternative Form

a_{1} \approx - 1.183216, a_{2} \approx 1.183216

Find the roots