Solve 4x ^ 2 - 5 - ScanMath

Evaluate

4 x^{2} - 5

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

4 x^{2} - 5 = 0

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

4 x^{2} = 0 + 5

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

4 x^{2} = 5

Divide both sides

\frac{4 x ^{2}}{4} = \frac{5}{4}

Divide the numbers

x^{2} = \frac{5}{4}

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

x = \pm \frac{5}{4}

Simplify the expression

More Steps

x = \pm \frac{5}{2}

Separate the equation into 2 possible cases

x = \frac{5}{2} x = - \frac{5}{2}

Solution

x_{1} = - \frac{5}{2}, x_{2} = \frac{5}{2}

Alternative Form

x_{1} \approx - 1.118034, x_{2} \approx 1.118034

Find the roots