用适当的方法解 x²-8x=20 急(2) 2x²-6x-1=0(3)根号2x²-4x=4根号2(4)(x-2)²-4(x-2)=-4

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用适当的方法解 x²-8x=20 急(2) 2x²-6x-1=0(3)根号2x²-4x=4根号2(4)(x-2)²-4(x-2)=-4
用适当的方法解 x²-8x=20 急
(2) 2x²-6x-1=0
(3)根号2x²-4x=4根号2
(4)(x-2)²-4(x-2)=-4

用适当的方法解 x²-8x=20 急(2) 2x²-6x-1=0(3)根号2x²-4x=4根号2(4)(x-2)²-4(x-2)=-4
x²-8x=20
x²-8x+16=36
(x-4)²=6²
x-4=6,或者,x-4=-6
x=10,或者,x = -2
(2) 2x²-6x-1=0
x²-3x-0.5=0
x²-3x+2.25=2.75
(x-1.5)²=(√11/2)²
x-1.5=√11/2,或者,x-1.5=-√11/2
x=(3+√11)/2,或者,x =(3-√11)/2
(3)根号2x²-4x=4根号2
x²-2√2x=4
x²-2√2x+2=6
(x-√2)²=(√6)²
x-√2=√6,或者,x-√2=-√6
x=√2+√6,或者,x = √2-√6
(4)(x-2)²-4(x-2)=-4
(x-2)²-4(x-2)+4=0
(x-2-2)²=0
(x-4)²=0
x-4=0
x=4