Finding the limits of integration and quadratic formula

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The discussion revolves around solving the equation -x^2 + 4x = x^2 - 6x + 5. Participants are attempting to simplify and find the correct expression, with one user arriving at 2x^2 - 10x + 5 but receiving a notification that it is incorrect. There is speculation that the software used for checking solutions may have limitations or misinterpretations. The conversation highlights frustrations with the software's feedback on the solution. Ultimately, the participants are seeking clarity on the correct approach to the integration limits and the quadratic formula.
Alexa
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Homework Statement


Please look at the photo!

Homework Equations


-x^2+4x=x^2-6x+5

The Attempt at a Solution


I got 2x^2-10x+5 but it says it's wrong
 

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Alexa said:

Homework Statement


Please look at the photo!

Homework Equations


-x^2+4x=x^2-6x+5

The Attempt at a Solution


I got 2x^2-10x+5 but it says it's wrong
I get the same thing as you got. I have no idea why the software says that's wrong.
 
Maybe the software is dumb and expects the negation of that equation.
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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