Question

Select the two values of x that are roots of this equation.

x2 - 5x+ 3 = 0
-
A. X
5+ 13
=
N
IB=
B. x = 5+y87
37
2
O
C.
5 - 13
X =
2
D. X =
5 - 37
N

Answer 1

A. and C.

Explanation:

1. Plug in the values of a, b, and c into the quadratic formula:

`x= \frac{-(-5)+-\sqrt{(-5)^(2)-4(1)(3) } }{2(1)}`

2. Solve the sqaure root:

`x= (-(-5)+-√(25-12) )/(2(1)) \\\\x =(-(-5)+-√(13) )/(2(1))`

3. Simplify the rest:

`x=(5+-√(13) )/(2)`

4. Separate the solutions:

`x= (5+√(13) )/(2) , x= (5-√(13) )/(2)`

A and C represent these solutions, therefore they are the anwsers.

hope this helps!