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Los numeros:
x
y
x + y = 4 (1)
xy =- 32 (2) despejo x
x = - 32/y Reemplazo en (1)
x + y = 4
- 32/y + y = 4
- 32/y + y²/y = 4y/y Simplificas y
- 32 + y² = 4y
y² - 4y - 32 = 0 Factorizas trinomio de la forma x² + bx + c
(y - 8)(y + 4) = 0 Tiene 2 solucions
y - 8 = 0
y = 8
0
y + 4 = 0
y = - 4
Para y = 8 De (1)
x + y = 4
x + 8 = 4
x = 4 - 8
x = - 4
Solucion:
x = - 4
y = 8
Para y = - 4
x + y = 4
x - 4 = 4
x = 4 + 4
x = 8
solucion
x = 8
y = - 4