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
