Question

For the equation given below, find the value of ‘m’ so that the equation has equal roots. Also, find the solution of the equation:

(m – 3)x² – 4x + 1 = 0

Answer 1

(m – 3)x² – 4x + 1 = 0

Here a = (m – 3), b = – 4 and c = 1

Given equation has equal roots

Then D = 0

`=>` b² – 4ac = 0

`=>` (– 4)² – 4(m – 3)(1) = 0

`=>` 16 – 4m + 12 = 0

`=>` – 4m = – 28

`=>` m = 7

Put value of m in given equation

4x² – 4x + 1 = 0

`=>` (2x – 1)² = 0 

`=>` 2x – 1 = 0

`=> x = 1/2`