The discriminant of y=ax^2+bx+c is b^2-4ac
given
9x^2+10x+0
a=9
b=10
c=0
discriminant=10^2-4(9)(0)=100-0=100
the discriminant is 100
ok so I am no expert (Actually i am it says it on my profile) but the answer is 69/5555*^ I hope that this helps you and if it was so easy then why can't ya do it buddy! lol jkjkjkjk
Answer:
Step-by-step explanation:
In order to find the center and the radius of this circle, you have to complete the square on it. And only for the x-terms, because the y term is squared and there is no other y term. We'll get to that in a second.
Take half the linear x-term, square it and add it to both sides. Our linear term is 10. Half of 10 is 5, and 5 squared is 25. We add 25 to both sides:
The reason we do this is to create a perfect square binomial inside that set of parenthesis. Simplifying the right side as well gives us:
This tells us that the center is (-5, 0). Remember when I said we would get back to the y terms? Because there was only a y-squared and no other y terms, that is the same as writing the equation as
The radius is the square root of the constant. So the radius is 6.
D is the graph you want.
