MHB How to make wolfarmalpha solve h(v−t)=h(v+t)

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The discussion focuses on using WolframAlpha to solve the equation h(v−t) = h(v+t) for v, where h(x) is defined as ax² + bx + c. The goal is to help students determine the vertex of the quadratic function. It is noted that WolframAlpha can solve this equation for any given values of a, b, and c, as well as for any t. There is some light-hearted confusion about the name "WolframAlpha," with a humorous remark about it being a farm for raising wolves. The main objective remains centered on utilizing the tool for educational purposes in understanding quadratic functions.
Amer
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Hello,

I want wolfarmalpha solve this $h(v-t) = h(v+t)$ for $v$ where $h(x) = ax^2 +bx +c $. It is the vertex I want the students to figure out the vertex of the quadratic function. If $a,b $ and $c$ are numbers wolfarmalpha can solve that for any $t$.

Any thoughts?

Thanks
 
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Amer said:
Hello,

I want wolfarmalpha solve this $h(v-t) = h(v+t)$ for $v$ where $h(x) = ax^2 +bx +c $. It is the vertex I want the students to figure out the vertex of the quadratic function. If $a,b $ and $c$ are numbers wolfarmalpha can solve that for any $t$.

Any thoughts?

Thanks
As I mentioned elsewhere, see here.

-Dan
 
topsquark said:
As I mentioned elsewhere, see here.

-Dan

Okay thanks again (Yes)
 
Wolfarmalpha? Is that a farm where they raise wolves?
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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