Question

What is the value of k for quadratic equation 4x

2 – 4kx + 1 = 0 has equal roots.

a) 4 b) -4 c) 2 d) ±1​

Answer 1

Answer:

±1

Step-by-step explanation:

4(x^2) - 4kx + 1 has equal roots.

=>b^2 - 4ac = 0

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

=>(-4k)^2 - (4*4*1) = 0

16(k^2) - 16 = 0

16(k^2) = 16

k^2 = 1

=> k = ±1

Hope it helps you!!!!

Answer 2

Answer:

+1

Step-by-step explanation:

4x²-4kx+1

b²-4ac=0

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

(-4k)²-(4*4*1)=0

16(k²)-16=0

16( k²)=16

k²=1

k=+1