How do you solve 2x(x - 1) = 3?

1 Answer
Mar 26, 2016

x=[1+-sqrt(13)]/4

Explanation:

2x(x-1)=3

4x^2-2x=3

4x^2-2x-3=0

Comparing with ax^2+bx+c=0 we get,

a=4, b=-2,c=-3

By Formula method,

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

x=[-(-2)+-sqrt((-2)^2-4xx4xx-(3))]/(2xx4)

x=[2+-sqrt(4+48)]/(8)

x=[2+-sqrt(52)]/(8)

x=[2+-sqrt(4xx13)]/(8)

x=[2+-sqrt(4xx13)]/(8)

x=[2+-2sqrt(13)]/(8)

x=(2[1+-sqrt(13)])/8

x=[1+-sqrt(13)]/4