What is the missing constant term in perfect square that starts with x2+14x?

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04-04-2018
Mathematics

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What is the missing constant term in perfect square that starts with x2+14x?

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calculista calculista · Answer 1 · 2018-04-13T23:49:54+02:00

calculista calculista

13-04-2018

we know that

A perfect square is (x+a)²---------> x²+2ax+a²
if we have x²+14x
then
2ax=14x-----------> 2a=14--------a=7

therefore
a²=7²----> 49
x²+2ax+a²------> x²+14x+49

the answer is
49

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