Question

Hey can you please help me posted picture of question

Answer 1

Answer:
The solutions are:

`(3 + i)/(2)` and
`(3 - i)/(2)`

Step-by-step explanation:
The general form of the quadratic equation is:
ax² + bx + c = 0
The given equation is:
2x² - 6x + 5 = 0

By comparison:
a = 2
b = -6
c = 5

Now, to get the solutions of the equation, we will have to use the quadratic formula shown in the attached image.

By substituting in the formula, we would find that:
either x =
`(6 + √((-6)^2 - 4(2)(5)) )/(2(2)) = (3 + i)/(2)`

or x =
`(6 - √((-6)^2 - 4(2)(5)) )/(2(2)) = (3 - i)/(2)`

Hope this helps :)