# polynominal with exponent of 4 question

• Nov 27th 2011, 05:32 PM
fran1942
polynominal with exponent of 4 question
Hello, this equation came up in class:
y^4 - 400y^2 + 25600

The teacher used this method to solve it:
let y^2 = z
z^2 - 400z + 25600
z = 320 or 80

I was just wondering what the name for the method used to solve it is, so that I can google and find out more information / practice examples etc. It is the first time I had come across this type of polynominal with an exponent higher than 3.

Thanks kindly.
• Nov 27th 2011, 05:34 PM
Prove It
Re: polynominal with exponent of 4 question
Quote:

Originally Posted by fran1942
Hello, this equation came up in class:
y^4 - 400y^2 + 25600

The teacher used this method to solve it:
let y^2 = z
z^2 - 400z + 25600
z = 320 or 80

I was just wondering what the name for the method used to solve it is, so that I can google and find out more information / practice examples etc. It is the first time I had come across this type of polynominal with an exponent higher than 3.

Thanks kindly.

It's just recognition that this is a quadratic equation in y^2.

By the way, the equation hasn't been solved yet. Now you need to find y.
• Nov 29th 2011, 08:57 AM
princeps
Re: polynominal with exponent of 4 question
Quote:

Originally Posted by fran1942
Hello, this equation came up in class:
y^4 - 400y^2 + 25600

The teacher used this method to solve it:
let y^2 = z
z^2 - 400z + 25600
z = 320 or 80

I was just wondering what the name for the method used to solve it is, so that I can google and find out more information / practice examples etc. It is the first time I had come across this type of polynominal with an exponent higher than 3.

Thanks kindly.

These equations are known as Biquadratic Equations