How do you solve 2x^2-11x=1?

1 Answer
Sep 22, 2015

The solutions are
color(blue)(x=(11+sqrt(129))/4

color(blue)(x=(11-sqrt(129))/4

Explanation:

2x^2−11x=1

2x^2−11x- 1=0

The equation is of the form color(blue)(ax^2+bx+c=0 where:
a=2, b=-11, c= -1

The Discriminant is given by:
Delta=b^2-4*a*c
= (-11)^2-(4*2* (-1))
= 121 +8=129

The solutions are found using the formula
x=(-b+-sqrtDelta)/(2*a)

x = (-(-11)+-sqrt(129))/(2*2) = (11+-sqrt(129))/4

The solutions are
color(blue)(x=(11+sqrt(129))/4

color(blue)(x=(11-sqrt(129))/4