Question

Solve the following quadratic equation by factorisation:
2x^2 - 2x +1/2 = 0​

Answer 1

Step-by-step explanation:

multiply the equation into 2

then we get

4x^2-4x+1=0

that is

Answer 2

Step-by-step explanation:

2x^2 - 2x + 1/2 =0

4x^2 - 4x +1=0

(2x)^ 2 – 2 x 1 × 2x +1 = 0

Using the identity,

(a – b)^2 = a² + b² – 2ab

(2x)^ 2 – 2 x 1 x 2x +1 = 0

2 x 1 x 2x +1=0

(2x – 1)² = 0

x = 1/2,1/2

So, 1/2 and 1/2 are the roots of the given quadratic equation.