1.

24: The function f(x)= 3x (x-4) has a​

Answer»

Answer:

′

(x)=

(x−4)

2

(x−4)(3−2x)−(t+3x−x

2

)⋅1

=

(x−4)

2

(x−12−2x

2

)−(t+3x−x

2

)

=

(x−4)

2

−(12+t)−2x−x

2

=

(x−4)

2

−(x

2

+2x+(12+t))

F

′

(x)=0 has TWO roots

⇒−(x

2

+2x+12+t)=0 has two roots

⇒ Discriminant >0

D=2

2

−4(12+t)>0

⇒4(1−(12+t))>0

⇒−(t+11)>0

⇒t+11<0

⇒t<−11


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