If (x-3)and(x-1/3) both are the factors of Ax2+5x+b than show that a=b.

Asked by Subodh Panda | 15th Jun, 2013, 11:24: AM

Expert Answer:

f(x) = Ax2+5x+b 
(x-3) and(x-1/3) are factors of f(x)
So, roots of equation are 3 and 1/3. 
So, product of roots = b/A = 3*1/3 = 1
b = A
Hence proved

Answered by  | 15th Jun, 2013, 04:27: PM

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