Halla la solución de las ecuaciones cuadráticas utilizando el método de factorización x² - 6x + 5 = 0 x² + 13x = 0 4x² = 0 x² + 4x - 32 = 0 x² - 121 = 0.
ax² + bx + c = 0
Pregunta de Matemáticas · 1 respuesta · 8 votos · mejor respuesta de Emilygallardo02
En resumen
1. ) x² - 6x + 5 = 0 (x - 5)(x - 1) = 0 x - 5 = 0 x = 5 x - 1 = 0 x = 1 2. ) x² + 13x = 0 x(x + 13) = 0 x = 0 x + 13 = 0 x = - 13 3. ) 4x² = 0 x² = 0 / 4 x = √0 x = 0 4. ) x² + 4x - 32 = 0 (x + 8)(x - 4) = 0 x + 8 = 0 x = - 8 x - 4 = 0 x = 4 5.
1. )
x² - 6x + 5 = 0
(x - 5)(x - 1) = 0
x - 5 = 0
x = 5
x - 1 = 0
x = 1
2.
)
x² + 13x = 0
x(x + 13) = 0
x = 0
x + 13 = 0
x = - 13
3.
)
4x² = 0
x² = 0 / 4
x = √0
x = 0
4.
)
x² + 4x - 32 = 0
(x + 8)(x - 4) = 0
x + 8 = 0
x = - 8
x - 4 = 0
x = 4
5.
)
x² - 121 = 0
(x - 11)(x + 11) = 0
x - 11 = 0
x = 11
x + 11 = 0
x = - 11.
1. ) x² - 6x + 5 = 0 (x - 5)(x - 1) = 0 x - 5 = 0 x = 5 x - 1 = 0 x = 1 2. ) x² + 13x = 0 x(x + 13) = 0 x = 0 x + 13 = 0 x = - 13 3. ) 4x² = 0 x² = 0 / 4 x = √0 x = 0 4.
X² - 10x + 25 = 0 (x - 5)(x - 5) = 0 x - 5 = 0 x = 5 Comprobando (5)² - 10(5) + 25 = 0 25 - 50 + 25 = 0 0 = 0.
Multiplicamos ambos lados por x : Restamos 15 de ambos lados : Factorizando : .