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Cody · Q15

Algebra

Let

f(x)=x3−32x2−6x+k.f(x)=x^3-\frac32x^2-6x+k.

Find all kk such that ff has three real roots.

A−72<k<10-\frac72<k<10
B0<k<100<k<10
Ck<0 or k>10k<0\text{ or }k>10
Dk<−72 or k>10k<-\frac72\text{ or }k>10
EAll real values of kk

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