Question

F={x=x^4-5x^2+6}write a roaster form​

Answer 1

Answer:

Factorization is the most proper way to solve this problem:

x4−5x2+6=0

x4−3x2−2x2+6=0

x2(x2−3)−2(x2−3)=0

(x2−3)(x2−2)=0

Since the polynomial is at fourth degree it needs to have 4 solutions :

x2−3=0 / x2−2=0

x2=3 / x2=2

x=±3–√ / x=±2–√

So here is the solution set for x:

{−3–√,−2–√,2–√,3–√ }

hope it helps u