How do you solve 2x^2 + 12x= 10 using the quadratic formula?

1 Answer
May 9, 2017

x=-3+-sqrt14

Explanation:

first rearrange to the form" "ax^2+bx+c=0

we have

2x^2+12x-10=0

divide out any common factors to make it simpler to use.

(2x^2+12x-10=0)-:2

=>x^2+6x-5=0

the formula is

x=(-b+-sqrt(b^2-4ac))/(2a)

a=1, b=6, c=-5

x=(-6+-sqrt(6^2-4xx1xx(-5)))/(2xx1)

x=(-6+-sqrt(36+20))/2

x=(-6+-sqrt56)/2

x=-6/2+-sqrt56/2

x=-6/2+-2sqrt14/2

:.x=-3+-sqrt14