49 - (x 2 - 3) = x 4 - 6x 2 + 9
Which of the following equations is equivalent to the equation above, if z = x 2 - 3?
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40 - (x^2 - 3) = x^4 - 6x^2 + 9
z = x^2 - 3, then equation becomes
49 - z = x^4 - 6x^2 + 9
49 - z = (x^2 - 3)^2 (factored)
49 - z = z^2
z^2+ z - 49 = 0
This is the final equation when z=x^2 - 3
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