Which of the following is a root of -5x+x^2
a. -5
b. -3
c. 1
d. 3
e. 5
please help now
-5x+x^2 = 0
or, more usual,
x^2 - 5x = 0
x(x-5) = 0
so, what do you think?
im confused
if the product of two numbers is zero, then one or the other of the numbers must be zero. This is why we always set stuff to zero to solve.
So, if x(x-5) = 0
either
x = 0 ... meaning x=0
x-5 = 0 ... meaning x = 5
5 is the only choice listed.
To find the roots of the quadratic equation -5x + x^2, we need to set the equation equal to zero.
So, our equation becomes: -5x + x^2 = 0
To solve this equation and find the roots, we can factor it:
x^2 - 5x = 0
Factoring out x, we have:
x(x - 5) = 0
Now, we can set each factor equal to zero and solve for x:
x = 0 or x - 5 = 0
Solving the second equation, we get:
x - 5 = 0
x = 5
Therefore, the roots of the given quadratic equation are x = 0 and x = 5.
Looking at the answer choices, we can see that option e. 5 is a root of the equation. So, the correct answer is e. 5.