Question

(x+y) = 11
xy = 2
x²+y² = ?

Answer 1

Answer:

x^2+y^2=117

Step-by-step explanation:

(x+y)=11

squaring on both sides

(x+y)^2=(11)^2

x^2+y^2+2xy=121

xy=2

=>x^2+y^2+2(2)=121

=>x^2+y^2=121-4

=>x^2+y^2=117

hope it's helfpul

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Answer 2

Step-by-step explanation:

$(x + y) {}^{2} = x {}^{2} + 2xy + y {}^{2} \\ x {}^{2} + y {}^{2} = (x + y) {}^{2} - 2xy$

On substituting the required values,

$(x + y) {}^{2} = 11 {}^{2} - 2 \times 2 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 121 - 4 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 117$

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Hope it helps....!

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