If (x + y) = 9 and xy = 20, then find the value of x2 + y2
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Answer:
x^2+y^2=41
Step-by-step explanation:
x+y=9; xy=20
=> x+y=9 (squaring both sides)
=> (x+y)^2=(9)^2
=> x^2+y^2+2xy=81
=> x^2+y^2+2(20)=81
=> x^2+y^2=81-40
=> x^2+y^2=41
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