5. find the discriminant of 15x2 = 4x – 1 and describe
the nature of the roots of the equation. then solve the
equation by using the quadratic formula.

a) The discriminant of the equation =  - 44

b)The nature of the roots will be imaginary.

c)

Step-by-step explanation:

Here, the given expression is

or,

Now the discriminant (D) of a quadratic equation

D =

Hence, the discriminant of the equation =  - 44

As D< 0, so the roots will be imaginary.

Now,by quadratic formula :

So, here

So, either

or,

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50

10

step-by-step explanation: