Question

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

Answer 1

Answer:
`x=-(3)/(2)\ or\ x=2`

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=(-b\±√(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=(-(-1)\±√((-1)^2-4(2)(-6)) )/(2)(2))\\\\\\x=-(3)/(2)\ or\ x=2`