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Find y² for x⁴ y⁴+3 x-2 y=-4 at the point (-1,1)

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Final answer:

By substituting the point (-1,1) into the given expression and simplifying, we find that y² is equal to 1.

Step-by-step explanation:

The question asks us to find the value of y² for a given expression at the point (-1,1). The expression given is x⁴ y⁴ + 3x - 2y = -4. To find y², we need to substitute the values of x and y into the equation and solve for y².

First, let's substitute x = -1 and y = 1 into the expression:

((-1)⁴ * (1)⁴) + 3(-1) - 2(1) = -4

This simplifies to:

1 + (-3) - 2 = -4

-4 = -4

Since the equation is balanced, y² is simply 1², which is 1.

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