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If alpha,beta are the roots of the equat...

If `alpha,beta` are the roots of the equation `ax^2 + bx+c=0` then the roots of the equation `(a + b + c)x^2-(b + 2c)x+c=0` are

A

c

B

d - c

C

2c

D

0

Text Solution

Verified by Experts

The correct Answer is:
2,4
Let ` f(x) = x^(2) + ax + b `. Then
` x^(2) + (2c + a) x + c^(2) + ac + b = f(x + c)`
Thus, the roots of f (x + c) = 0 will be 0, d - c .
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