Question
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c)

Ask by Turnbull Higgins. in Ecuador
Mar 14,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Las soluciones de la ecuación son y .

Solution

Solve the quadratic equation by following steps:
  • step0: Solve using the quadratic formula:
  • step1: Solve using the quadratic formula:
  • step2: Simplify the expression:
  • step3: Separate into possible cases:
  • step4: Rewrite the fraction:
  • step5: Rewrite:

    Para resolver la ecuación cuadrática , utilizamos la fórmula cuadrática. La forma general de la ecuación cuadrática es , donde en este caso:
La fórmula cuadrática es:

Paso 1: Calcular el discriminante

Primero, calculamos el discriminante :

Paso 2: Sustituir en la fórmula cuadrática

Ahora sustituimos , y en la fórmula cuadrática:
Esto nos da dos soluciones:

Resumen de las soluciones

Las soluciones de la ecuación son:

Answered by UpStudy AI and reviewed by a Professional Tutor

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Bonus Knowledge

To solve the equation , we can use the quadratic formula , where , , and . Plugging in these values gives:
  1. Calculate the discriminant: .
  2. Now substitute into the formula: .
This leads us to the solutions and , which may provide irrational solutions that can be evaluated further with a calculator.
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.

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