Question
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Answer
Las soluciones de la ecuación
Solution
Solve the quadratic equation by following steps:
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step0: Solve using the quadratic formula:
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step1: Solve using the quadratic formula:
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step2: Simplify the expression:
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step3: Separate into possible cases:
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step4: Rewrite the fraction:
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step5: Rewrite:
Para resolver la ecuación cuadrática, utilizamos la fórmula cuadrática. La forma general de la ecuación cuadrática es , donde en este caso: -
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La fórmula cuadrática es:
Paso 1: Calcular el discriminante
Primero, calculamos el discriminante
Paso 2: Sustituir en la fórmula cuadrática
Ahora sustituimos
Esto nos da dos soluciones:
Resumen de las soluciones
Las soluciones de la ecuación
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Simplify this solution Bonus Knowledge
To solve the equation
- Calculate the discriminant:
. - Now substitute into the formula:
.
This leads us to the solutions
In history, quadratic equations have been solved in various cultures ranging from ancient Babylon to India and the Islamic Golden Age. Notably, Al-Khwarizmi’s work in the 9th century systematically documented these methods, forming the foundation for modern algebra.
In the real world, these quadratic equations can represent various scenarios like calculating projectile motion or determining the optimal pricing for a product based on profit maximization. Understanding how to solve them not only aids in academic settings but is also crucial in numerous scientific and engineering applications.
