SOLUTION: 6x^2-5x+1=0 answer:x=1/3 or 1/2 need a full break down of how my book got those fractions as answers

Algebra.Com
Question 181636: 6x^2-5x+1=0
answer:x=1/3 or 1/2
need a full break down of how my book got those fractions as answers

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!

You can work backwards to get the equation
from the roots, which are:
(1)
(2)
Subtract from both sides of (1), and
Subtract from both sides of (2)
(1)
(2)
Now multiply both sides of (1) by ,
and multiply both sides of (2) by
(1)
(2)
The product of (1) and (2) will be also


-----------------------
Also, each of the roots will solve the equation



Multiply both sides by


And, also



Multiply both sides by


OK

RELATED QUESTIONS

6x^2 + 5x + 1=0 answer:x= -1/2 or -1/3 need a full break down of how my book got... (answered by Mathtut)
18x^2 +9x + 1=0 answer: x= -1/3 or -1/6 need a full break down of how my text (answered by jim_thompson5910)
x^2 + 2x= 3/4=0 answer x= -3/2 or -1/2 need a full break down of how my book... (answered by Alan3354)
x^2 + 5x+ 4=0 answer:x=-1 or -4 need a full break down of how my text book got... (answered by jim_thompson5910)
y=3x and x + y=2 answer: 1/2, 3/2 wanted to know how my book got these fractions (answered by josmiceli)
18x^2 + 9x +1=0 answer:x= -1/3 or -1/6 need a full break down of how my book (answered by ankor@dixie-net.com)
4x^2 - 8x - 5=0 answer x= -1/2 or 5/2 need a full break down of how my text... (answered by solver91311,josmiceli)
solve 2r^2 + 3r-1=0 answer: -3 + sqrt 17/4, -3-sqrt 17/4 need a full break down... (answered by yuendatlo)
x^2 +2x + 3/4 = 0 answer:x= - 3/2 or - 1/2 need a break down of how my book got (answered by Alan3354,solver91311)