The greatest positive integral value of x for which 200-x(10+x)
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Answer: x = 9
Step-by-step explanation:
200−x(10+x)
=200−10x−x
2
=200−20x+10x−x
2
=20(10−x)+x(10−x)
=(20+x)(10−x)
⇒f(x)>0∀xϵ(−20,10)
∴ greatest positive integral value for which f(x)>0 is x=9 (∵ at x=10,f(x)=0)
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