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Which of the following values of P satisfy the inequality P (P - 3) < 4P - 12 ?
A) P > 14 or P < 13
B) 24 \( \Large \leq \) P < 71
C) P > 13 ; P < 51
D) P = 4, P = + 3
Correct answer:
D) P = 4, P = + 3
Description for Correct answer:
P (P - 3) = 4P - 12
\( \Large P^{2} - 3P = 4P - 12 \)
\( \Large P^{2} - 7P + 12 = 0 \)
\( \Large \because P = -\frac{(-7) \pm \sqrt{49 - 4 \times 12}}{2} \)
= \( \Large \frac{7 \pm \sqrt{1}}{2} = \frac{7 + 1}{2} , \frac{7 - 1}{2} \) = 4, 3
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