Question

The number of values of "a" for which ( a^2 -3a + 2)x^2+ (a^2 -5a + 6)x + a^2- 4=0 is a 'x' is

Answer 1

Answer:

If the quadratic ax

2

+bx+c=0 has more than 2 roots then it is an identify in x and a=0,b=0,c=0

∴λ

2

−5λ+6=0

λ=2,λ=3

And λ

2

−3λ+2=0

λ=2,λ=1

And λ

2

−4=0

λ=2,λ=−2

∴ The common solution is λ=2