Thread: Algebraic Equation ヽ(´□｀。)ﾉ Need help~

Given that 81h/2e + 2e/h = 18,
Find the value of e : h

Does anyone here know how I should go about doing this? I confused myself mid-way when attempting to solve the equation >n<;

Originally Posted by asterism

Given that 81h/2e + 2e/h = 18,
Find the value of e : h

Does anyone here know how I should go about doing this? I confused myself mid-way when attempting to solve the equation >n<;

Assuming this is , then



And now solve for h using the Quadratic Formula.

Originally Posted by Prove It

Assuming this is , then



And now solve for h using the Quadratic Formula.

Instead of solving for h and then dividing e by that h, you could divide both sides by e to get and solve it to find . This can also be done starting from the initial equation . If we denote e / h by x, then the equation becomes , which turns into a quadratic equation in x after multiplying by x.

Thank you. >//v//<"

But I have another question: which method should I use in solving the quadratic equation? Factorization or?

Originally Posted by asterism

Thank you. >//v//<"

But I have another question: which method should I use in solving the quadratic equation? Factorization or?

I doubt it factorises. Use the Quadratic Formula.

Okay!!
I haven't learnt it in class yet but I'll google it.

Also, I really like your signature. xD;

Originally Posted by asterism

I haven't learnt it in class yet but I'll google it.

When I was in a freshman in high school, I took part in a math competition designed for sophomores. There was a quadratic equation, and I could not solve it because we had not covered the quadratic formula yet though I believe we had covered completing the square. Later my math teacher told me that I could have derived the quadratic formula by completing the square. So don't be afraid to study the quadratic formula and how to derive it. I personally never use factorization but instead apply the quadratic formula.

Originally Posted by asterism

Given that 81h/(2e) + 2e/h = 18

I try to use LCD where easiest:

81h/(2e) = 18 - 2e/h
81h/(2e) = (18h - 2e)/h
Criss-cross multiplication:
81h^2 = 36eh - 4e^2

81h^2 - 36eh + 4e^2 = 0