Question

How do you solve quadratic equations to the fourth power?

Answer 1

The most common way to solve a quadratic equation to the fourth power would be using `x^2` instead of `x` when factoring, an example is shown below.

Explanation:

Depending on the specific problem, there are different ways that you may be able to solve the quadratic equation.

Sometimes, you are able to factor each term by a numerical value, an example where this can be used is

`4x^4+8x^3+2x^2+12x+24=0`

In this situation, you would be able to divide each term by `2`

Another situation would be `x^4+4x^2+4`

In this situation, you would factor like a quadratic that goes to the second power with the exception of the first term of each set of parentheses will be `x^2` instead of `x`, giving you
`(x^2+2)(x^2+2)`

This would be the most common way of solving quadratic equations to the fourth power, but depends on the problem that is given.