Question
If \( x^{2}+y^{2}=6, x y=5 \), then \( (x+y)^{2}= \)
Ask by Griffiths Hamilton.
Dec 18,2024 19:45
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Answer
\( (x + y)^{2} = 16 \)
Answered by UpStudy AI and reviewed by a Professional Tutor
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Mind Expander
To find \( (x+y)^{2} \), we can use the identity:
\[
(x+y)^{2} = x^{2} + y^{2} + 2xy.
\]
Given \( x^{2} + y^{2} = 6 \) and \( xy = 5 \), we can substitute these values into the equation:
\[
(x+y)^{2} = 6 + 2(5) = 6 + 10 = 16.
\]
Thus, \( (x+y)^{2} = 16 \).
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