Select the correct answer from the drop-down menu. The values are the roots of the quadratic equation .\

Answers

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.

quadratic equationis 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.Quadratic Equations: