Online Course Discussion Forum
algebra 2020 summer
For 7.28, we need to solve the value a that have the maximum root. In your answer key, how do you know the maximum root is cube root of 2 over 2? You did not make any explanation , so I am confused. Is Okay. Is there anywhere they might have established that fact about the roots?
Thanks!
I don't think I'm in the same class as you, but I think I had the same question on my homework. Try rewriting the equation as a quadratic with $a$ as the variable and use the condition that $a$ is a real number.
This is for the MC II-A course.
Question 7.28 is referring to question 7.8:
Let $a$ be a real number, and the equation $x^2+a^2x+a=0$ has real roots for $x$. Find the maximum possible root $x$.
The solution to Question 7.8 is in the lecture video, and also available in the book. Question 7.28 is an additional question based on that.
To James Shi: Good! This is the same question in MC III. There are multiple practices with this technique and I hope everyone learns the mathematical ideas behind it.
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