Question

Solve : 2x⁴ + x³ - 11x² + x + 2 = 0 ; x ∈ Q​

Answer 1

Answer:

The given equation is given:

2x4 + x3 - 11x2 + x + 2 = 0

(1) Since x = 0 is not a solution of the given equation, dividing by x2 in both sides of Eq.

(1), we get 2(x2 + 1/x2) + (x + 1/x) - 11 = 0

(2) Put x + 1/x = y in Eq.

(2). Then Eq. (2) reduces to the form 2(y2 − 2) + y − 11 = 0 ⇒ 2y2 + y − 15 = 0 ⇒ y1 = -3 and y2 = 5/

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Hops it helps :)