Question

12(x²+1/x²)-28(x-1/x)-9=0​

Answer 1

Answer:

x = -1/2, 2, 3/2, -2/3

Step-by-step explanation:

Multiply both sides by x² to get 12x^4-28x³-9x²+28x+12=0. Factor the left side to get (2x+1)(x-2)(2x-3)(6x+4)(1/2) = 0. Set factors = 0. 2x+1=0, x-2=0, 2x-3=0, 6x+4=0. So, x=-1/2, 2, 3/2, -2/3. Then if you want you can plug them in to test.

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