How do you solve quadratic equations to the fourth power?

1 Answer
Jul 21, 2018

Answer:

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.