Asked by luca
For what value(s) of 𝒌 will the quadratic function 𝑓(𝑥) = 𝑘𝑥
2 − 8𝑥 + 𝑘 have two zeros?
2 − 8𝑥 + 𝑘 have two zeros?
Answers
Answered by
mathhelper
assuming you meant: f(x) = kx^2 - 8x + k
for 2 distinct roots
b^2 - 4ac > 0
64 - 4(k)(k) > 0
64 > 4k^2
k^2 < 16
-4 < k < 4
for 2 distinct roots
b^2 - 4ac > 0
64 - 4(k)(k) > 0
64 > 4k^2
k^2 < 16
-4 < k < 4
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