Question

The number of values of the pair (a, b) for which a(x+1)+ box? - 3x - 2) + x + 10 is an ident
d) Infinite​

Answer 1

Answer:

a(x+1)

2

+b(x

2

−3x−2)+x+1=0

a(x

2

+2x+1)−b(x

2

+3x+2)+x+1=0

ax

2

+ax+ax+a−b[(x+1)x+2x+2]+x+1=0

ax(x+1)+a(x+1)−b(x+1)(x+2)+(x+1)=0

(x+1)[ax+a−b(x+2)+1]=0

ax+a−bx−2b+1=0

x(a−b)+(a−2b+1)=0

∴a−b=0anda−2b+1=0

a=b

a−2a=−1

∴a=1=b