For what value of a will –p3 + 15ap +p2 - 9 equal 16 for p=5?
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Answer:
-p³ + 15ap + p² - 9 = 16
(-5)³ + 15(a)(5) + (5)² - 9 = 16
125 + 75a + 25 - 9 = 16
125 +75a +16 =16
141 + 75a = 16
75a = 16 - 141
75a = -125
a = -125÷75
a = -5/3
∴ a = -1.666
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