Griffiths Frank
05/28/2023 · Middle School
\( = \frac { - ( 3 ) \pm \sqrt { ( 3 ) ^ { 2 } - 4 ( 2 ) ( 1 ) } } { 2 ( 2 ) } \)
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Claro, aquí tienes la expresión simplificada en español:
\[ = \frac { -3 \pm \sqrt { 3^2 - 4 \cdot 2 \cdot 1 } } { 2 \cdot 2 } \]
Para simplificarla, primero calculamos el valor dentro de la raíz cuadrada:
\[ = \frac { -3 \pm \sqrt { 9 - 8 } } { 4 } \]
\[ = \frac { -3 \pm \sqrt { 1 } } { 4 } \]
\[ = \frac { -3 \pm 1 } { 4 } \]
Ahora, calculamos las dos posibles soluciones:
\[ = \frac { -3 + 1 } { 4 } \quad \text{y} \quad \frac { -3 - 1 } { 4 } \]
\[ = \frac { -2 } { 4 } \quad \text{y} \quad \frac { -4 } { 4 } \]
\[ = -\frac { 1 } { 2 } \quad \text{y} \quad -1 \]
Por lo tanto, las soluciones son \(-\frac{1}{2}\) y \(-1\).
Quick Answer
Las soluciones son \(-\frac{1}{2}\) y \(-1\).
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