求数学高手bbtmml相助!急救!急救如果题目是这样的怎么解呢?[2+2(5k-3)k]^2-4(1+k^2)[(5k-3)^2-24]=0

Question

求数学高手bbtmml相助!急救!急救
如果题目是这样的怎么解呢?[2+2(5k-3)k]^2-4(1+k^2)[(5k-3)^2-24]=0

Answer 1

4+8(5k-3)k+4k^2(5k-3)^2-4(1+k^2)(5k-3)^2+96(1+k^2)=0
4+8(5k-3)k+4k^2(5k-3)^2-4(5k-3)^2-4k^2(5k-3)^2+96+96k^2=0
100+136k^2-24k-100k^2+120k-36=0
36k^2+96k+64=0
9k^2+24k+16=0
(3k+4)^2=0
3k+4=0
k=-4/3