Question

) Find the value of k, if the roots of the quadratic equation 3r - kr +48=0
are real and equal.​

Answer 1

Answer:

24

Step-by-step explanation:

We will first factorise this polynomial.

3r - kr + 48

= 3r - xr - yr + 48 [ Let us say that x + y = k]

Now, according to the question, x = y

Also, x and y are numbers such that x + y = k and xy = 48 × 3 = 144

So, x × x = 144

x = y = 12

k = x + y = 24