How do you solve 2x^2 + 9x + 4 = 0 using the quadratic formula?

1 Answer
Feb 27, 2016

x=( -1)/(2) or x=-4

Explanation:

Given equation is 2x^2+9x+4=0
Comparing with ax^2+bx+c=0

We get, a= 2; b=9, c= 4

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

x=( -9+-sqrt(9^2-4xx2xx4))/(2xx2)

x=( -9+-sqrt(81-32))/(4)

x=( -9+-sqrt(49))/(4)

x=( -9+-7)/(4)

x=( -9+7)/(4) or x=( -9-7)/(4)

x=( -2)/(4) or x=( -16)/(4)

x=( -1)/(2) or x=-4