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anonymous
 one year ago
Between what two successive integers does a real zero of P(x) = x3 –2x –5 lie?
what are successive integers?
anonymous
 one year ago
Between what two successive integers does a real zero of P(x) = x3 –2x –5 lie? what are successive integers?

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asnaseer
 one year ago
Best ResponseYou've already chosen the best response.0successive integers are integers that follow each other. e.g. 4 and 5 are successive integers, 18 and 19 are successive integers, etc

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you can find the zeros of \(P(x)\), and find the integers from that value... for example if you find the real zero to be \(x=1.32\) then you know it lies between \(1\) and \(2\) ( This is not the solution, i just made up an example ! )

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.2Hey, let \(f(x) = x^3  2x  5\). Notice that \(f(2) = 1\) and \(f(3) = 16\). Therefore a root lies in the interval (2,3).

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Greg_D thanks. so all i have to do is find the zero and did whatever it's between is the answer?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes! remmeber your answer must be integer numbers!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh ok. it is between 2 and 3 like parthkohli said. i also must use calculator. Thanks for the help!

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.2Here, I used the Intermediate Value Theorem. There's no real need for a calculator although you can graph the function.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0:) you are welcome! @ParthKohli showed a more efficient way to solve this, without finding the value of the zero !

asnaseer
 one year ago
Best ResponseYou've already chosen the best response.0you don't need to actually work out the roots of this equation first.

asnaseer
 one year ago
Best ResponseYou've already chosen the best response.0you need to try successive integers until you observe a sign change  Intermediate Value Theorem as @ParthKohli stated
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