>>572
16△PKA^2(1-r)^2sin^2θ+(1-2r+2r^2)^2sin^2θ-8(1-2r+2r^2)sin^2θ△PKA^2+△PKA^4=4r^2・(1-r)^2・sin^4θ
△PKA^4+{16(1-r)^2-8(1-2r+2r^2)}sin^2θ△PKA^2+(1-2r+2r^2)^2sin^2θ-4r^2・(1-r)^2・sin^4θ=0
△PKA^4+(16r^2-32r+16r^2-8+16r-16r^2)sin^2θ△PKA^2+(1-2r+2r^2)^2sin^2θ-4r^2・(1-r)^2・sin^4θ=0
△PKA^4+8(2r^2-2-1)sin^2θ△PKA^2+(1-2r+2r^2)^2sin^2θ-4r^2・(1-r)^2・sin^4θ=0
因数分解か解の公式か。