Question

find the value of K, if the roots of
the quadratic equation 3x²- Kx +48=0
are real and equal.​

Answer 1

Answer:

IF THE ROOTS ARE EQUAL THEN,

✒SUM OF THE ROOTS = PRODUCT OF THE ROOTS

✒$\frac{ - b}{a} = \: \frac{c}{a}$

✒$\frac{k}{3} = \frac{48}{3}$

✒$k = 16 \times 3$

✒$k = 48$

Answer 2

Answer:

Since the roots are real and equal, ∴ D = b

2 − 4ac = 0

⇒k

2 – 4×3×3 = 0 (∵ a = 3, b = k, c = 3)

⇒k

2 = 36

⇒k = 6 or −6