Question

3. If the equation x

2 - (k+4) +4(x+4) = 0 has equal roots, then find k.​

Answer 1

Answer:

-24

Step-by-step explanation:

If the equation has equal roots, then D = 0

Here D = b² - 4ac

First simplify the equation

equation = x² + 4x + 16 - (k+4) = x² + 4x - (k+20) = 0

Now, a = 1 ; b = 4 ; c = -(k+20) = -k-20

D = 4² - 4(1)(-k-20) = 0

16 - [-4k-80] = 0

16 + 4k + 80 = 0

4k + 96 = 0

4k = -96

k = -96/4

k = -24