Determine all p such that the functions f(x)=x2+px+1 and g(x)=−3x2+4x do not intersect.
Antwoord 1 correct
Correct
Antwoord 2 optie
For all p.
Antwoord 2 correct
Fout
Antwoord 3 optie
For no p.
Antwoord 3 correct
Fout
Antwoord 4 optie
p>0
Antwoord 4 correct
Fout
Antwoord 1 optie
0<p<8
Antwoord 1 feedback
Correct: x2+px+1=−3x2+4x⇔4x2+(p−4)x+1=0.
No points of intersection means that D<0. D=(p−4)2−4⋅4⋅1=p2−8p=p(p−8). Hence, D=0 for p=0 or p=8. A sign chart then gives 0<p<8.
Go on.
No points of intersection means that D<0. D=(p−4)2−4⋅4⋅1=p2−8p=p(p−8). Hence, D=0 for p=0 or p=8. A sign chart then gives 0<p<8.
Go on.
Antwoord 2 feedback
Wrong: See Example 3 (film).
Antwoord 3 feedback
Wrong: See Example 3 (film).
Antwoord 4 feedback
Wrong: See Example 3 (film).