Question

Select the two values of x that are roots of this equation. (This is for apex by the way)
x^2-5x+5=0

Answer 1

Answer:

Step-by-step explanation:

Find the discriminant, b^2-4ac:  Here a = 1, b = -5 and c = 5.

Then the discriminant is (-5)^2-4(1)(5) = 5, and so there are 2 real, different roots.  The roots are:

      -(-5) ±√5

x = ----------------,   which correspond to answers A and C.

           2(1)

Answer 2

The roots of the equation will be (5 - √5) / 2 and (5 + √5) / 2. Then the correct options are A and C.

What is a quadratic equation?

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2. Then we have

The quadratic equation is given below.

x² - 5x + 5 = 0

Then the root of the equation is given as

$\rm x = \dfrac{ - (-5) \pm \sqrt{(-5)^2 - 4*1*5}}{2*1}\\\\x = \dfrac{5 \pm \sqrt{25-20}}{2}\\\\x = \dfrac{5 \pm \sqrt5}{2}\\\\x = \dfrac{5 - \sqrt5}{2}, \dfrac{5 + \sqrt5}{2}$

Thus, the correct options are A and C.

More about the quadratic equation link is given below.

https://brainly.com/question/2263981

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