Question

considerando o valor de x²+y²=125 e x.y=50 qual o valor de (x-y)²

Answer 1

${(x - y)}^{2} = {x}^{2} - 2xy + {y}^{2} = \\ = {x}^{2} + {y}^{2} - 2xy = \\ = 125 - 2 \times 50 = \\ = 125 - 100 = 25$

Answer 2

{ x2 + y2 =125

{xy=50

x2 - 2.x.y + y2


x2-2xy+y2

x2 + y2 - 2xy

125- 50. 2
125- 100
25

R=25