Find the values of k for roots are real and equal in equation:4x2– 3

1.	Find the values of k for roots are real and equal in equation:4x2– 3kx + 1 = 0
Answer» The given equation 4x²– 3kx + 1 = 0 is in the form of ax²+ bx + c = 0 Where a = 4, b = -3k, c = 1 For the equation to have real and equal roots, the condition is D = b²– 4ac = 0 ⇒ (-3k)²– 4(4)(1) = 0 ⇒ 9k² – 16 = 0 ⇒ k = ± \(\frac{4}{3}\) The value of k is ± \(\frac{4}{3}\).

Find the values of k for roots are real and equal in equation:4x2– 3kx + 1 = 0

Answer»

The given equation 4x²– 3kx + 1 = 0 is in the form of ax²+ bx + c = 0

Where a = 4, b = -3k, c = 1

For the equation to have real and equal roots, the condition is

D = b²– 4ac = 0

⇒ (-3k)²– 4(4)(1) = 0

⇒ 9k² – 16 = 0

⇒ k = ± \(\frac{4}{3}\)

The value of k is ± \(\frac{4}{3}\).