100 POINT QUESTION!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Solve 2x2 – 6x + 10 = 0 by completing the square.
Question 10 options:

A)

x = 3∕2 + 1∕2 i, x = 3∕2 – 1∕2i

B)

x = 3 + i, x = 3 – i

C)

x = 3∕2 + i , x = 3∕2 – i

D)

x = 3 + i, x = 3 – i

Respuesta :

Answer:

Ok I don't know waht you mean but the answer is

Step-by-step explanation:

Answer:

x=3/2±(√11)2

x=1.5+1.65831i

x=1.5−1.65831i

Find the Solution for

2x^22−6x+10=0

using the Quadratic Formula where

a = 2, b = -6, and c = 10

x=(−b±√(b^2−4ac))/2a

x=(−(−6)±√((−6)2−4(2)(10)))2(2)

x=(6±√(36−80))/4

x=(6±√−44)/4

The discriminant b^2−4ac<0

so, there are two complex roots.

Simplify the Radical:

x=(6±2√11 i)/4

x=6/4±(2√11 i)4

Simplify fractions and/or signs:

x=3/2±(√11)2

which becomes

x=1.5+1.65831i

x=1.5−1.65831i