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If X2 + Y2 = 29 And Xy = 2, Find the Value of X + Y. - Mathematics

Answer in Brief

If x2 + y2 = 29 and xy = 2, find the value of x + y.

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Solution

We have: 

\[\left( x + y \right)^2 = x^2 + 2xy + y^2 \]

\[ \Rightarrow \left( x + y \right) = \pm \sqrt{x^2 + 2xy + y^2}\]

\[ \Rightarrow \left( x + y \right) = \pm \sqrt{29 + 2 \times 2} ( \because x^2 + y^2 = 29 \text { and } xy = 2)\]

\[ \Rightarrow \left( x + y \right) = \pm \sqrt{29 + 4}\]

\[ \Rightarrow \left( x + y \right) = \pm \sqrt{33}\]

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APPEARS IN

RD Sharma Class 8 Maths
Chapter 6 Algebraic Expressions and Identities
Exercise 6.6 | Q 17.1 | Page 44
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