Question

If
a 2 - ab +b2
___________ =1/3
a2 + ab + b²
then find a/b
(a) 1 (b) 2
(c) 3 (d) 4​

Answer 1

Answer:

c

Step-by-step explanation:

a²+b²+ab=1/3(a²+b²+ab)

let the blank be X

a²+b²+ab=1/3(a²+b²+ab)

3(a²+b²+ab)=(a²+b²+ab)

(3a²+3b²+3ab)=(a²+b²+ab)

2a²+2b²-2ab=0

2(a²+b²-ab)=0

a²+b²-ab=0

a²+b²=ab

applying square root on both sides

a/b=3