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hobozforlife

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For what values of k does k^2-kx+4=0 have no real roots?
 

Trebla

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Find the discriminant. For no real roots, the discriminant must be negative. When you set the discriminant to be negative you then solve the inequality for k.
 
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hobozforlife

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Find the discriminant. For no real roots, the discriminant must be negative. When you set the discriminant to be negative you then solve the inequality for k.
Doesn't take a genius to get to that, but thanks for your effort.
 

Trebla

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Oh looks like I didn't read it properly. Well assuming the variable is x then
x = (k^2 + 4)/k
in which case any non-zero value of k will allow x to be real. In the case of k = 0, x is undefined.
 

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