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Ask by Ortega Mejia. in the United States
Mar 22,2025

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The solutions are and .

Solución

Solve the equation .
Solve the quadratic equation by following steps:
  • step0: Solve by factoring:
  • step1: Move the expression to the left side:
  • step2: Factor the expression:
  • step3: Separate into possible cases:
  • step4: Solve the equation:
  • step5: Rewrite:

    The solutions to the equation are and .

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Bonus Knowledge

To solve the equation , first, let’s rearrange it to set it to zero:
This is a quadratic equation in the standard form , where , , and . We can use the quadratic formula:
Calculating the discriminant:
Now substituting back into the quadratic formula gives us:
This results in two potential solutions:
  1. ,
  2. .
Thus, the solutions are and .

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