已知x的平方减3x减1等于0
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x^2-3x+1=0即x^2+1=3xx+1/x=(x^2+1)/x=3x/x=3答案是3
x²+3x-1=0x²+3x=1x³+5x²+5x+8=x³+3x²+2x²+5x+8=x(x²+3x)+2x²
x^2+3x+1=0x^2+1=-3x两边除xx+1/x=-3平方x^2+2+1/x^2=9x^2+1/x^2=7x^2-2+1/x^2=7-2=5(x-1/x)^2=5x-1/x=±√5(x+1/x
∵x²-3x+1=0∴x+1/x=3∴x²+1/x²=7∴根号(x²+1/x²-2)=根号(7-2)=根号5
x^2-3x+1=0x^2+1=3x两边除Xx+1/x=3平方x^2+2+1/x^2=9x^2+1/x^2=7
x²-3x+1=0同除以x得x-3-1/x=0x+1/x=3
x^2+3x-1=0x^2+3x=1x+3=1/xx^2+1/x^2=x^2+x^2+9=2x^2+9
答:x^2-4x+1=0显然,x不等于0,两边同除以x有:x-4+1/x=0x+1/x=4两边平方得:(x+1/x)^2=16x^2+2+1/x^2=16x^2-2+1/x^2=12所以:(x-1/x
x^2-4x+1=0易证x≠0等式两边除以x得x-4+1/x=0x+1/x=4(x+1/x)^2=16x^2+2+1/x^2=16x^2-2+1/x^2=12(x-1/x)^2=12x-1/x=±2√
x²-3x+1=0两边同除以x得:x-3+1/x=0所以x+1/x=3两边平方得;x²+2+1/x²=9所以x²+1/x²=7所以(x-1/x)
x²+x-²=14
x²-3x+1=0x²+1=3x两边平方x^4+2x²+1=9x²x^4+1=7x²两边除以x²x²+1/x²=7
x²=3x+1所以x³=x(3x+1)=3x²+x=3(3x+1)+x=10x+3所以原式=2(10x+3)-3(3x+1)-11x+8=20x+6-9x-3-11x+8
由x^2-3x+1=0知x不等于0等式两边同除以x,得x+1/x=3等式两边同平方,得x^2+(1/x)^2+2=3^2=9所以x^2+(1/x)^2-2=(9-2)-2=5所以原式=根号5
x²=3x+1所以x³=x(3x+1)=3x²+x=3(3x+1)+x=10x+3所以原式=2(10x+3)-3(3x+1)-11x+8=20x+6-9x-3-11x+8
x²+2x-1=0两边同时除以xx+2-1/x=0x-1/x=-2再问:X的平方+1/X的平方再答:(x-1/x)²=4x²+1/x²-2=4x²+1
因为x^2-3x-1=0所以x-1/x=3(x-1/x)^2=9x^2+1/x^2+2=9+2+2=13(x+1/x)^2=13x+1/x=正负根号13所以x^2-1/x^2=(x+1/x)(x-1/
x^2-x-1=0==>x^2=x+1-x^3+2x^2+2010=-x*x^2+2x^2+2010=-x(x+1)+2(x+1)+2010=-x^2+x+2012=-(x+1)+x+2012=201
即x²-2x=1所以原式=2x³-4x²+x²-2x-2x+2=2x(x²-2x)+(x²-2x)-2x+2=2x+1-2x+2=3
x²-4x-1=0x²-4x=1所以:(2x-3)²-(x+y)(x-y)-y²=4x²-12x+9-(x²-y²)-y²