This course will teach participants about installing and configuring Python, syntax, importing, statements, types, strings, booleans, files, lists, tuples, comprehensions, functions, and classes.

I was asked last night about performing maths with quadratic equations and I could show how to solve most problems but there was one that has left me completely baffled. After about 45 minutes last night I had to give up. (Probably missed something obvious and was making life way to complex for myself.)

Given the following quadratic equation:

4x.x - 35x + q = 0

what is the value of q. One is also told the raltionship between two values of x which solve the equation. Call those solution n and m then n = m squared (n = m.m).

I can use formulae from vieta to obtain things like m + n = 35/4 and m.n = q/4 and the formula for solving the quadratic but I then just get a horrendous mess with quadratic or higher equations when trying to simplify things.

Can someone point me in the right direction please.

Given the following quadratic equation:

4x.x - 35x + q = 0

what is the value of q. One is also told the raltionship between two values of x which solve the equation. Call those solution n and m then n = m squared (n = m.m).

I can use formulae from vieta to obtain things like m + n = 35/4 and m.n = q/4 and the formula for solving the quadratic but I then just get a horrendous mess with quadratic or higher equations when trying to simplify things.

Can someone point me in the right direction please.

Experts Exchange Solution brought to you by

Enjoy your complimentary solution view.

Get this solution by purchasing an Individual license!
Start your 7-day free trial.

I wear a lot of hats...

"The solutions and answers provided on Experts Exchange have been extremely helpful to me over the last few years. I wear a lot of hats - Developer, Database Administrator, Help Desk, etc., so I know a lot of things but not a lot about one thing. Experts Exchange gives me answers from people who do know a lot about one thing, in a easy to use platform." -Todd S.

https://brilliant.org/wiki/vietas-formula/

4n.n.n.n - 35n.n + q = 0

4n.n.n.n - 31n.n + 35n = 0

n(4n.n.n - 31n + 35)=0

n=0 or (4n.n.n - 31n + 35)=0

I'm getting a horrible feeling this was a very nasty question in the chapter concerning quadratics. (The ones prior to this were done very rapidly with the help of the vieta equations). If I am correct then I think it is out of order to have that in a book for someone to be learning the maths - it could really wreck the pupils confidence.

from the part

n = (-1+- sqrt(1.1 + 35)/2.1

that I get two values 5/2 and -7/2 unfortunately one isn't the square of the other (and neither related to zero).

combine them into a quadratic in n

solve for n, then use n to find m and q

Experts Exchange Solution brought to you by

Your issues matter to us.

Facing a tech roadblock? Get the help and guidance you need from experienced professionals who care. Ask your question anytime, anywhere, with no hassle.

Start your 7-day free trial5/2 and 25/4

also

-7/2 and 49/4

Now I put these back into the original eqation to cross check. The first pair give a different value for q with each substition. The second pair both give q = -171.5

So in the original eqation the value of q is -171.5 and the pair values of x are -7/2 and 49/4

Many thanks. I'd done part of this procedure then made a mistake in thinking that the 5/2 and -7/2 should be the pair of solutions of x and one should the the square of the other NOT each independant which I would than have to work with further.

Math / Science

From novice to tech pro — start learning today.

Experts Exchange Solution brought to you by

Enjoy your complimentary solution view.

Get this solution by purchasing an Individual license!
Start your 7-day free trial.