SOLUTION: factor the quadratic expression completely, and find the roots of the expression. 6x^2-17x+2 If possible can you write out each step so I can apply this process in future probl

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: factor the quadratic expression completely, and find the roots of the expression. 6x^2-17x+2 If possible can you write out each step so I can apply this process in future probl      Log On


   

Question 600398: factor the quadratic expression completely, and find the roots of the expression.
6x^2-17x+2
If possible can you write out each step so I can apply this process in future problems Thanks for all of you help!
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
6x^2-17x+2

Find the roots of the equation by quadratic formula

a= 6 , b= -17 , c= 2

b^2-4ac= 289 + -48
b^2-4ac= 241
%09sqrt%28%09241%09%29=%0915.52%09
Substitute the values of b,a & sqrt(b^2-4ac) in
x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29
x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29
x1=( 17 + 15.52 )/ 12
x1= 2.71
x2=%28-b-sqrt%28b%5E2-4ac%29%29%2F%282a%29
x2=( 17 -15.52 ) / 12
x2= 0.12