SOLUTION: Hi, I was wondering how I solve this equation to find the value of x 0= x^4+x^2+1 thankyou

Algebra ->  Square-cubic-other-roots -> SOLUTION: Hi, I was wondering how I solve this equation to find the value of x 0= x^4+x^2+1 thankyou       Log On


   

Question 890538: Hi,
I was wondering how I solve this equation to find the value of x
0= x^4+x^2+1
thankyou
Answer by josgarithmetic(39629) About Me  (Show Source):
You can put this solution on YOUR website!
Let v=x%5E2;

v%5E2%2Bv%2B1=0
v=%28-1%2B-+sqrt%281-4%29%29%2F2
v=%28-1%2B-+sqrt%28-3%29%29%2F2
v=%28-1%2B-+i%2Asqrt%283%29%29%2F2

Next you want x=sqrt%28v%29
highlight%28x=0%2B-+sqrt%28%28-1%2B-+i%2Asqrt%283%29%29%2F2%29%29