If x+y=23 and xy=126, what is the value of x²+y²? (Bank Recruitment, 2010) · ABC26GN0825

Subject: General Aptitude · Chapter: Simplification · Exam: Bank Recruitment 2010

If $x+y=23$ and $xy=126$, what is the value of $x^{2}+y^{2}$? (Bank Recruitment, 2010)

Answer

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Explanation

$(x+y)=23 \Rightarrow (x+y)^2=(23)^2=529 \Rightarrow x^2+y^2+2xy=529 \Rightarrow x^2+y^2+2\times126=529 \Rightarrow x^2+y^2=529-252=277$.

Explanation as extracted from the printed page; notation may be imperfect.

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