Math, asked by kalp13, 1 month ago

F = {x | x 4 – 5x 2 + 6 = 0, x ∈ R}
write in roster form​

Answers

Answered by ffninaj49
0

Answer:

u

Step-by-step explanation:

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Answered by Mudit7260
1

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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