Question

What are the solutions for x when y is equal to 0 in the following quadratic
function?
y = x^2 - 13x
OA) x = 0
OB) x = 13
OC) x = 0 or x = 13
OD) x = 0 or x = -13
O E) no real solutions​

Answer 1

Answer: Option C

Step-by-step explanation:

Given the quadratic equation $y = x^2 - 13x$, substitute $y=0$:

 $0 = x^2 - 13x$

In this case, to find the solutions of the given quadratic equation, you must factor out the variable "x". Then:

$0=x(x-13)$

Therefore, you get that the solutions of this equation are the following:

$x=0\\\\\\x-13=0\\x=13$

Then, the answer is:

$x = 0\ or\ x = 13$

This matches with the option C.