Question

3. Si:
x + y = 14
x . y = 4
Calcular: (x - y)²

Answer 1

Explicación paso a paso:

$\begin{bmatrix}x+y=14\\ x-y=4\end{bmatrix}\\\\\\\begin{bmatrix}14-y-y=4\end{bmatrix}\\\\\\\begin{bmatrix}14-2y=4\end{bmatrix}\\\\\\14-2y-14=4-14\\\\\\-2y=-10\\\\\\\frac{-2y}{-2}=\frac{-10}{-2}\\\\\\y=5$

Sabemos que  y=5

y=5    ,    x=9

Nos pide calcular  (x - y)²

$\left(9-5\right)^2\\\\\\4^2\\\\\\Rpta=16$

$NOSENADAOFICIAL$

Saludos.