SOLUTION: List the zeros of y = x(x-5). If you have more than one solution, separate them with commas. x=______ if you can, will you plz show some work because i have a few question

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: List the zeros of y = x(x-5). If you have more than one solution, separate them with commas. x=______ if you can, will you plz show some work because i have a few question      Log On


   



Question 930758: List the zeros of y = x(x-5).
If you have more than one solution, separate them with commas.
x=______
if you can, will you plz show some work because i have a few questions like this and i want to do them on my own.

Found 3 solutions by rcdodds, josgarithmetic, MathTherapy:
Answer by rcdodds(6) About Me  (Show Source):
You can put this solution on YOUR website!
The zero of a function is the x-value that will make the y=0. Therefore, to find them we set y equal to 0 and solve using algebra.
y=0=x%28x-5%29
We could expand this to a quadratic and use the quadratic formula, and although there's a shortcut I will show you the long way because the shortcut doesn't always work.
0=x%5E2-5x%29
x=%285+%2B-+sqrt%2825%29+%29%2F2
x=0++x=5
We see this way that our zeros are x=0 , x=5 .
Once we are experienced with these types of problems we can see that for x TIMES x-5 to be equal to zero, one of the two parts has to be equal to 0 and that happens at x=0 , x=5 .
Either way we get the same results, and the shortcut can take some getting used to. Hope that helps to clarify!

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Zero Product Rule: a and b are real numbers. If ab=0, then either a or b or both is zero.

y=x%28x-5%29.
Find the zeros, so that x%28x-5%29=0.

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

List the zeros of y = x(x-5).
If you have more than one solution, separate them with commas.
x=______
if you can, will you plz show some work because i have a few questions like this and i want to do them on my own.

y = x(x - 5)
0 = x(x - 5) -------- Setting the factors equal to 0
x = 0 OR x - 5 = 0 ------- Setting each factor equal to 0
x = 0 OR x = 5
highlight_green%28system%28x+=+0_or%2C+x+=+5%29%29