Discriminant of a function. Consider the function \(\displaystyle{f{{\left({x}\right)}}}={k}{x}^{{{2}}}-{2}{k}{x}+{2}.\) Find

Kale Bright

Kale Bright

Answered question

2022-04-13

Discriminant of a function.
Consider the function f(x)=kx22kx+2.
Find the values of k if kx2+2>2kx for any value of x.

Answer & Explanation

Raina Blackburn

Raina Blackburn

Beginner2022-04-14Added 10 answers

1) k>0
kx22kx+2>0
D=k22k<0
0<k<2
2) k=0
2>0True
3) k<0
kx22kx+2>0 cannot be always true
Hence, 0k<2

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