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Question

If one root of x22p(x4)15=0 is less than 1 and the other root is greater than 2, then the range of p is

A
(73,73)
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B
(,73)
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C
R
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D
(73,)
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Solution

The correct option is B (,73)
Let f(x)=x22p(x4)15
According to condition,


Now, f(1)<0 ; f(2)<0
f(1)<012p(3)15<06p<14p<73 (1)

f(2)<042p(24)15<04p11<0
p<114 (2)

From (1) and (2),
p(,73)

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