Solve 4x^2+9 - ScanMath

Evaluate

4 x^{2} + 9

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

4 x^{2} + 9 = 0

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

4 x^{2} = 0 - 9

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

4 x^{2} = - 9

Divide both sides

\frac{4 x ^{2}}{4} = \frac{- 9}{4}

Divide the numbers

x^{2} = \frac{- 9}{4}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

x^{2} = - \frac{9}{4}

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

x = \pm - \frac{9}{4}

Simplify the expression

More Steps

x = \pm \frac{3}{2} i

Separate the equation into 2 possible cases

x = \frac{3}{2} i x = - \frac{3}{2} i

Solution

x_{1} = - \frac{3}{2} i, x_{2} = \frac{3}{2} i

Alternative Form

x_{1} = - 1.5 i, x_{2} = 1.5 i

4x^2+9