Question

x^4-11x^2+1 slove the Factor ​

Answer 1

Step-by-step explanation:

we can rewrite this equation as a quadratic equation Using w , such that w = x2 transforms the equation into :

w2-11w+1 = 0

Solving this new equation using the quadratic formula we get two real solutions :

10.9083 or 0.0917

Now that we know the value(s) of w , we can calculate x since x is √ w

Doing just this we discover that the solutions of

x4-11x2+1 = 0

are either :

x =√10.908 = 3.30278 or :

x =√10.908 = -3.30278 or :

x =√ 0.092 = 0.30278 or :

x =√ 0.092 = -0.30278