Question

Solve the quadratic equation by the method of completing square 4x^2−2x=3, fast......​

Answer 1

Answer:

x = 3/2 or x = -1/2

Step-by-step explanation:

4x²-2x-3 = 0

Third term = (½× coefficient of x)²

= (-2/2)²

= (-1)²

= 1

Now, 4x² - 2x - 3 = 0

4x² - 2x - 1 + 1 - 3 = 0

( 2x - 1 )² - 2 =0

(2x - 1 )² = 2

Taking square root on both the sides,

2x - 1 = +/- 2

2x - 1 = 2 or 2x - 1 = -2

2x = 3 or 2x = -1

x = 3/2 or x = -1/2