x+y=5 xy=8 求x^2+y^2

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x+y=5xy=8求x^2+y^2x+y=5xy=8求x^2+y^2x+y=5xy=8求x^2+y^2(x+y)的平方=X2+2XY+Y2x^2+y^2+2*8=25x^2+y^2=99(x+y)^2

x+y=5 xy=8 求x^2+y^2
x+y=5 xy=8 求x^2+y^2

x+y=5 xy=8 求x^2+y^2
(x+y)的平方=X2+2XY+Y2
x^2+y^2+2*8=25
x^2+y^2=9

(x+y)^2=x^2+y^2+2*x*y
所以
x^2+y^2=(x+y)^2-2*x*y=9

（x+y)^2=x^2+2xy+y^2=25
所以x^2+y^2=25-2xy=25-16=9

(x+y)的平方=X2+2XY+Y2
x^2+y^2+2*8=25
x^2+y^2=9

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