已知x平方减2x减4等于0,求x平方分之x立方加8的值
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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+y²-2x+1=0(x-1)²+y²=0所以x-1=0y=0即x=1
由题意得x²+2x-1=0所以x²+2x=1所以原式=3x²+6x+4=3(x²+2x)+4=3*1+4=7
x²+2x-1=0x²-1=-2x平方x^4-2x²+1=4x²x^4+1=6x²两边除以x²x²+1/x²=6
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√
x^2+y^2=6y-4x-13x^2+4x+4+y^2-6y+9=0(x+2)^2+(y-3)^2=0x=-2y=3x^2-y^2=(-2)^2-3^2=4-9=-5
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)
x的n次方记作x^n.由方程得1=4x-x^2,x^2+1/x^2=x^2+(4x-x^2)/x^2=x^2+4/x-1=x^2+(16x-4x^2)/x-1=x^2+16-4x-1=x^2-4x+1
X的平方减4X加1等于0x²+1=4x两边同时除以x,得x+1/x=4则(x+1/x)²=4²x²+2+1/x²=16所以x²+1/x
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
x加x分之一等于4即x+1/x=4(a)则x平方+2+1/x平方=16两边同减4所以x平方-2+1/x平方=12(x-1/x)平方=12x-1/x=2√3(b)(a)(b)左右相乘得x平方-1/x平方
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x²+y²-4x-2y+5=0x²-4x+4+y²-2y+1=0(x-2)²+(y-1)²=0x-2=0x=2y-1=0y=1√(x+y)/
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
x^2+x-1=0x^2=1-x是x^3+2x^2+1吧=x*x^2+2x^2+1=x[1-x]+2x^2+1=x-x^2+2x^2+1=x^2+x-1+2=0+2=2
x平方-y平方=4(x+y)(x-y)=4(x+y)平方*(x-y)平方=4*4=16