Question

How do you solve `2x^2-3x-2=0` using the quadratic formula?

Answer 1

2 and `- 1/2`

Explanation:

Use the improved quadratic formula, also called the quadratic formula in intercept form (Google, Yahoo, Bing Search)
`y = 2x^2 - 3x - 2 = 0`
`D = d^2 = b^2 - 4ac = 9 + 16 = 25` ---> `d = +- 5`
There are 2 real roots:
`x = -b/(2a) +- d/(2a) = 3/4 +- 5/4`
`x1 = 8/4 = 2`
`x2 = -2/4 = - 1/2`