# How do you find all the real and complex roots of #x^4-6x^2+5=0#?

##### 1 Answer

Jan 22, 2016

#### Explanation:

Notice that this is very similar to

#(x^2-5)(x^2-1)=0#

To solve this, set each individual part being multiplied equal to

#x^2-5=0#

#x^2=5#

#x=+-sqrt5#

#x^2-1=0#

#x^2=1#

#x=+-1#

These are the equation's four roots (where the equation crosses the

graph{x^4-6x^2+5 [-19.53, 21.01, -6, 14.28]}

Note that