How do you solve using the quadratic formula method 2x^2 + 3x – 1 = 0?

1 Answer
Mar 7, 2016

x=(-3+sqrt17)/4 or x=(-3-sqrt17)/4

Explanation:

Quadratic formula which gives solution of ax^2+bx+c=0
is x=(-b+-sqrt(b^2-4ac))/(2a).

In the equation 2x^2+3x–1=0, a=2, b=3 and c=-1 and hence solution is

x=(-3+-sqrt(3^2-4xx2xx(-1)))/(2xx2)

or x=(-3+-sqrt(9+8))/(2xx2)=-(3+-sqrt17)/4

i.e. x=(-3+sqrt17)/4 or x=(-3-sqrt17)/4