2x^2 - (kx+1)^2 = 1 怎么化简请写出详细的化简步骤,最后结果貌似是(2-k^2)x^2 - 2kx - 2 = 0

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2x^2 - (kx+1)^2 = 1 怎么化简请写出详细的化简步骤,最后结果貌似是(2-k^2)x^2 - 2kx - 2 = 0
2x^2 - (kx+1)^2 = 1 怎么化简
请写出详细的化简步骤,最后结果貌似是(2-k^2)x^2 - 2kx - 2 = 0

2x^2 - (kx+1)^2 = 1 怎么化简请写出详细的化简步骤,最后结果貌似是(2-k^2)x^2 - 2kx - 2 = 0
2x^2 - (kx+1)^2 = 1
化为 2x^2 - (k^2x^2+2kx+1) = 1
2x^2 - k^2x^2-2kx-1 = 1
2x^2 - k^2x^2-2kx-1 - 1 =0
(2-k^2)x^2 - 2kx - 2 = 0

2x^2 - (kx+1)^2 = 1
==>2x^2 - k^2*x^2-2kx-1 = 1
==>2x^2 - k^2*x^2-2kx-2 =0
==>(2-k^2)*x^2-2kx-2 = 0