Question

How to solve 2x^2 - 4x = 3

Answer 1

Answer:

1 ± i(1/2)√2

Step-by-step explanation:

Write this quadratic in standard form:  subtract 3 from both sides.  This results in 2x^2 - 4x - 3 = 0.  Let's apply the quadratic formula.  The coefficients of the x terms are 2, -4 and -3, so the discriminant is (-4)^2 - 4(2)(-3), or 16 - 24 = -8.

Following the format of the quadratic formula, we get

     -(-4) ±i2√8       4 ±i2√2        

x = ----------------- = --------------- =  1 ± i(1/2)√2

               4                    4