Question

An equation is shown.
2x2 - x - 6 = 0
What is one solution to the equation?

Answer 1

Answer: $x=-\frac{3}{2}\ or\ x=2$

Step-by-step explanation:

Given the following Quadratic equation:

$2x^2 - x - 6 = 0$

You can use the Quadratic formula in order to solve it.

The Quadratic formula is:

$x=\frac{-b\±\sqrt{b^2-4ac} }{2a}$

In this case you can identify that:

$a=2\\b=-1\\c=-6$

Therefore, knowing these values, you can substitute them into the Quadratic formula.

Then, you get:

$x=\frac{-(-1)\±\sqrt{(-1)^2-4(2)(-6)} }{2)(2)}\\\\\\x=-\frac{3}{2}\ or\ x=2$