divide by 12
x^2 + (11/12)x = 5/12
add the square of half the middle term coefficient
x^2 + 11x/12 + 121/576 = 5/12 + 121/576
(x + 11/24)^2 = 361/576
x+ 11/24 = ± √361/24
x = (-11 ± √361)/24
BTW, just noticed below that bobpursley did the same question for you yesterday
http://www.jiskha.com/display.cgi?id=1307404926
Solve by completing the square
12x^2+11x=5
5 answers
x^2+11/12x=5/12
x^2+2*(11/24)*x+(11/24)^2=5/12+(11/24)^2
(x+11/24)^2=(19/24)^2
x+11/24=19/24
or
x+11/24=-19/24
x^2+2*(11/24)*x+(11/24)^2=5/12+(11/24)^2
(x+11/24)^2=(19/24)^2
x+11/24=19/24
or
x+11/24=-19/24
How silly of me not to notice that √361 = 19
Don't worry
sometimes it happens that 2*2=5
sometimes it happens that 2*2=5
-6a-4=-7a+11=
1 answer