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1. A quadratic equation is in the form of ax²+bx+c. The roots of the quadratic equation x² – 4x + 5 = 0 are x = 2 ± i. Thus, the correct option is C.

   A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

   Given the roots of the quadratic equation are x = 2 ± I, Therefore, we can write the roots as,

   α = 2+i

   β = 2-i

   Now, we know that a quadratic equation can also be written in the form,

   x² – (α+β)x + αβ = 0

   Therefore, we need to find the value of (α+β) and αβ,

   α+β = 2 + i + 2 – i

   α+β = 4

   αβ = (2+i)(2-i)

   αβ = 2²-i²

   αβ = 4 + 1

   αβ = 5

   Thus, the quadratic equation is x² – 4x + 5 = 0.

   Hence, The roots of the quadratic equation x² – 4x + 5 = 0 are x = 2 ± i. Thus, the correct option is C.

   Learn more about Quadratic Equations:

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