Respuesta :
Answer:
Option C
Step-by-step explanation: I think this is right because when you substitute the 2 for x you get the answer. Hope this helps darling!!
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.
What is a quadratic equation?
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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