find the zeroes of the polynomial function 2x^2-5x+12

Question

Find the zeroes

 

Answer 1

Given polynomial 2x^2-5x+12

Compare it to quadratic form ax^2+bx+c

a = 2, b = -5, c = 12

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

x = [5+sqrt(25-96)]/4  and x = [5-sqrt(25-96)]/4

x = [5+sqrt(-71)]/4 and x = [5-sqrt(-71)]/4

Given polynomial has imaginary roots.

zeroes of given polynomial is x = [5+8.42i]/4 and x = [5-8.42i]/4