Question

Solve 4x2-4x+5=0 by completing squares method.​

Answer 1

Answer:

13/4

Step-by-step explanation:

4×2_4x+5=8_4x+5=13_4x=13=4x=13/4=x

Answer 2

Given:

4x^2 - 4x + 5 = 0

Dividing by 4, we get

=> (4x^2/4) - (4x/4) + (5/4) = 0

=> x^2 - x + (5/4) = 0

Adding and subtracting (1/2)^2

=> x^2 - x + (5/4) + (1/2)^2 - (1/2)^2 = 0

=> x^2 - x + (1/2)^2 + (5/4) - (1/2)^2 = 0

=> (x - 1/2)^2 + (5/4) - (1/4) = 0

=> (x - 1/2)^2 + 1 = 0

=> (x - 1/2)^2 = -1

=> (x - 1/2) = -1

=> x = (1/2) + i, x = (1/2) - i

Hope it help!