F = {x | x 4 – 5x 2 + 6 = 0, x ∈ R}
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Answer:
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Step-by-step explanation:
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Answer:
hope it helps you
Step-by-step explanation:
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–√ }
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