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【pleasehelpmemorethanks~~~~1howmanyprimenumbersparetheresuchthat199p+1isaperfectsquare?A0B1C2D4E82HOWMANYPAIRSOFREALNUMBERS(X,Y)SATISFYTHEEQUATION(X+Y)^2=(X+3)(Y-3)A0B1C2D4Einfinitely】
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问题描述:

pleasehelpmemorethanks~~~~

1howmanyprimenumbersparetheresuchthat199p+1isaperfectsquare?

A0B1C2D4E8

2HOWMANYPAIRSOFREALNUMBERS(X,Y)SATISFYTHEEQUATION(X+Y)^2=(X+3)(Y-3)

A0B1C2D4Einfinitelymany

3Whatistheareaofthepolygonformedbyallpoints(x,y)intheplanesatisfyingtheinequality//x/-2/+//y/-2/

金铮回答:
  1.199p+1=a^2=>(a+1)(a-1)=199ppisaprime.199isalsoaprime.=>a+1=199a-1=pora+1=pa-1=199=>p=197,201(notaprimenumbersoitisnotasolution)SoBiscorrect.2.(X+Y)^2=(X+3)(Y-3)=>x^2+2xy-(y-3)...
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