Question

Can anyone help me with this please

Answer 1

Answer:

RPM 1388.889

Horsepower 366.802

Step-by-step explanation:

We do not need to solve the equation for y = 0, which is nice. We can go directly to finding the maximum.

The maximum or minimum of ax^2+bx+c is always at x=-b/2a

with b = 25/45 and a = -1/5000 we get

x = -25/45 / (-2/5000) = 5/9 * 2500 = 12500/9 ≈ 1388.889

Now we only need to put that x into the equation (ideally in form of 12500/9 for accuracy) and we get the horsepower of ~366.802