Question

find the root of quadratic equation 9x²-9(a+b)x+(2a²+5ab+2b²)=0​

Answer 1

Answer:

9x²−9(a+b)x+(2a²+5ab+2b²) =0

⟹9x²-9(a+b)x+[2a(a+2b)+b(a+2b)]=0

⟹9x²−9(a+b)x+[(2a+b)(a+2b)]=0

⟹9x²-3[(a+2b)(2a+b)]x+[(2a+b)(a+2b)]=0

⟹3x[3x−(a+2b)][3x−(2a+b)]=0

⟹3x=a+2b

⟹x= a+2b/3

or,

⟹3x=2a+b

⟹x= 2a+b/3