方程2x²-4x+3√x²-2x+6=15怎么解
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方程2x²-4x+3√x²-2x+6=15怎么解
方程2x²-4x+3√x²-2x+6=15怎么解
方程2x²-4x+3√x²-2x+6=15怎么解
√(x^2-2x+6)=t>=0
x^2-2x+6=t^2
x^2-2x=t^2-6
方程化为:2(t^2-6)+3t=15
2t^2+3t-27=0
(2t+9)(t-3)=0
t=-4.5(舍去) or 3
因此:x^2-2x+6=t=9
x^2-2x-3=0
(x-3)(x+1)=0
x=3 or -1