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If , then x = [[1]].

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answer is -9.

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Detailed Solution

, then x = -9.
The given linear equation is as follows,

x 4 + x 6 − x 2 = 34

.
We first need to eliminate the denominators on both sides of the equation. To do so, we will have to look at the LCM of 4, 6 and 2, i.e., 12.
So, multiplying each side of the given equation by 12 and simplifying it, we get,

12 × x 4 + 12 × x 6 − 12 × x 2 = 12 × 34 3 x + 2 x − 6 x = 9 − x = 9

Dividing by -1 on both sides, we get,

− x − 1 = 9 − 1 x = − 9

So, the value of the variable x is -9.

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