Question 844662
What two numbers multiply to get -1/6
a*b = {{{-1/6}}}
 and also add to get -1/6
a + b = {{{-1/6}}}
a = ({{{-1/6}}}-b)
replace a in the 1st equation
({{{-1/6}}}-b)*b = {{{-1/6}}}
multiply both sides by 6
6({{{-1/6}}}-b)*b = -1
(-1-6b)*b = -1
-b - 6b^2 = -1
0 = 6b^2 + b - 1
Factors to
(3b-1(2b+1) = 0
two solutions
3b = 1
b = 1/3, then a = -1/2
and
2b = -1
b = -1/2 then a = 1/3
:
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