Answer:
The solutions are:
[tex] \frac{3 + i}{2} [/tex] and [tex] \frac{3 - i}{2} [/tex]
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 = [tex] \frac{6 + \sqrt{(-6)^2 - 4(2)(5)} }{2(2)} = \frac{3 + i}{2} [/tex]
or x = [tex] \frac{6 - \sqrt{(-6)^2 - 4(2)(5)} }{2(2)} = \frac{3 - i}{2} [/tex]
Hope this helps :)
