ABC26GN0825 · Simplification

Subject: General Aptitude · Chapter: Simplification · Exam: 2010 · Marks: · Difficulty:

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