Answer:
Parabola
Step-by-step explanation:
We are given that a function

The given function is an equation of parabola along y- axis.
General equation of parabola along y- axis with vertex (h,k) is given by


Compare it with given equation then we get
h=5, k=3
Vertex of given parabola =(5,3)
Substitute x=0 then we get

y-intercept of parabola is at (0,28).
<span>i think you mean discriminant in part A
</span>
Δ=b^2-4ac=256-4*2*3=256-24=232
it is positive so it has two answers.
Part B
you can find Δ
Δ=b^2-4ac=9-4*9*(-2)=81
x1=-3+9/18=6/18=1/3
x2=-3-9/18=-12/18=-2/3
Answer:
Therefore either a:b = 5:4 or a:b=-5:4
Step-by-step explanation:
ax²-5bx+4a=0
Since the quadratic equation has two real root.
Then b²-4ac>0
Here a= a , b= -5b and c=4a
∴(-5b)²-4.a.4a=0
⇔25b²=16a²
⇔5b=±4a

Therefore either a:b = 5:4 or a:b=-5:4