Which method of solving the quadratic equation would be the easiest to find the soulution for 2x^2 - 4x-3=0

Solve for x over the real numbers:

2 x^2 - 4 x - 3 = 0

Divide both sides by 2:

x^2 - 2 x - 3/2 = 0

Add 3/2 to both sides:

x^2 - 2 x = 3/2

Add 1 to both sides:

x^2 - 2 x + 1 = 5/2

Write the left hand side as a square:

(x - 1) ^2 = 5/2

Take the square root of both sides:

x - 1 = sqrt (5/2) or x - 1 = - sqrt (5/2)

Add 1 to both sides:

x = 1 + sqrt (5/2) or x - 1 = - sqrt (5/2)

Add 1 to both sides:

Answer: x = 1 + sqrt (5/2) or x = 1 - sqrt (5/2)