Answer
There are no real solutions to this equation.
Work Step by Step
The quadratic equation is one that is in the form $ax^2 + bx + c = 0$, where $a$, $b$, and $c$ are real numbers.
We are asked to solve the quadratic equation given using the quadratic formula, which is given by the formula:
$x = \frac{-b ± \sqrt {b^2 - 4ac}}{2a}$
Let's plug our values into this formula to solve for $x$:
$x = \frac{-6 ± \sqrt {(6)^2 - 4(1)(18)}}{2(1)}$
Let's simplify:
$x = \frac{-6 ± \sqrt {36 - 72}}{2}$
Simplify what is under the radical sign:
$x = \frac{-6 ± \sqrt {-36}}{2}$
Because we will have to take the square root of a negative number, there are no real solutions to this equation.
