Question

If a, b are the roots of the equation (x – a) (x –b) + c = 0 then roots of the equation (x – a) (x – b) – c = 0 are

• A. a + b, b + c
• B. a, b
• C. a, b + c
• D. None of these

Answer 1

Answer: (B)

a, b

Answer 2

a, b are the roots of (x – a) (x – b) + c = 0

Ž x² – (a + b) x + (ab + c) = 0

Ž a + b = (a + b) ab = ab + c

Ž (a + b) = (a + b)

and (ab) = (ab – c)

Now the given equation (x – a) (x – b) – c = 0

Ž x² – (a + b) x + ab – c = 0

Ž x² – (a +b)x + ab = 0

so roots are a, b