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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: Difference of squares
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[Post New]24 Jul 2008 21:23:56 IST
    Subject: Difference of squares
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Little_Master (230)

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Difference between squares of two cosecutive numbers is 137. Find the numbers with solution
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[Post New]24 Jul 2008 21:35:21 IST
    Subject: Re:Difference of squares
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necrophilia666 (59)

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ans. 68 n 69


 


take the no.s to be x+1 & x.


given (x+1)2- x=137


2x+1=137


x=68
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[Post New]24 Jul 2008 23:54:49 IST
    Subject: Re:Difference of squares
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rudra.panda (2512)

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\text{ Let the numbers be x and x+1}\\\\A/q\\(x+1)^2-x^2=137\\\\\Rightarrow (x+1+x)=137\\\\\Rightarrow 2x+1=137\\\\\Rightarrow x=\frac{136}{2}\\\\\Rightarrow x=68\ and\ x+1=69\\\\\text{So the numbers are 68 and 69}
God does not care about our mathematical difficulties. He integrates empirically. ~~~Albert Einstein (1879-1955)~~~~
To divide a cube into two other cubes, a fourth power or in general any power whatever into two powers of the same denomination above the second is impossible, and I have assuredly found an admirable proof of this, but the margin is too narrow to contain it.~~~Pierre de Fermat (1601-1665)~~~
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