Pregunta
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The solutions are
and
.
Solución
Step 1. Write down the given quadratic equation:
Step 2. Factor the quadratic expression. We need two numbers that multiply to
(the constant term) and add up to
(the coefficient of
). The numbers
and
satisfy these conditions since:
Step 3. Factor the quadratic:
Step 4. Set each factor equal to zero and solve for
:
Step 5. Solve the equations:
Final Answer:
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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The Deep Dive
This quadratic equation can be solved by factoring. It can be rewritten as
. From this, we find the solutions
and
. These values are the points where the graph of the equation intersects the x-axis!
Quadratic equations like this one have real-world applications, especially in areas such as physics, engineering, and finance. For instance, they can model projectile motion, where the height of an object over time follows a parabola. So, whether you’re launching a rocket or calculating profit margins, you’re likely to encounter these quadratic beauties!

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