3. If the equation x
2 - (k+4) +4(x+4) = 0 has equal roots, then find k.
Answers
Answered by
0
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
Similar questions
English,
3 months ago
Physics,
3 months ago
Computer Science,
3 months ago
Computer Science,
6 months ago
Math,
6 months ago
Hindi,
10 months ago
Math,
10 months ago