SOLUTION: Solve for x. x^4 - 15x^2-16 = 0

Algebra ->  Expressions-with-variables -> SOLUTION: Solve for x. x^4 - 15x^2-16 = 0      Log On


   



Question 1194297: Solve for x.
x^4 - 15x^2-16 = 0

Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.

Your starting equation is

    x^4 - 15x^2-16 = 0


It is so called biquadratic equation. To solve it, factor left side

    (x^2 - 16)*(x^2 + 1) = 0.


In real domain, it gives two solutions  x= 4 and x= -4.


In complex numbers, there are 4 possible solutions:  x= 4, x= -4, x= i = sqrt%28-1%29  and  x= -i = -sqrt%28-1%29.

Solved.