Question

IF 6a^2 + 5b^2 - 13ab = 0, find a:b

Answer 1

Answer:

a:b =1:2 or 5:3

Step-by-step explanation:

firstly divide the whole equation by ab then we get

6a/b +5b/a -13=0

let a/b =x

then it becomes

6x+5/x -13=0

6x^2 - 13x+5=0

factorising it

(2x-1)(3x-5)=0

so x = 1/2 or 5/3

then a:b = 1:2 or 5:3