已知:x²-3x 2=0 求:x³-x²-4x 10
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1/10x4+3x2+1=x4-x3+(x3+3x2+x)-x+1=x4-x3+x(x2+3x+1)-x+1=x4-x3-x+1=x4-(x3+3x2+x)+3x2+1=x4-x(x2+3x+1)+3
∵x2+x-1=0,∴x2+x=1,2x3+3x2-x=2x(x2+x)+x2-x=2x+x2-x=x2+x=1.
x^2-3x+2=0(x-2)(x-1)=0x=2或x=1当x=2时x^2+1/x^2=2^2+1/2^2=4+1/4=17/4当x=1时x^2+1/x^2=1^2+1/1^2=1+1=2
因为x2+3x-1=0,所以x2-1=-3x,将上式子两边同时除以x(x≠0),所以x-1x=-3,(x-1x)2=(-3)2=9,x2+1x2-2=9,则x2+1x2=11.
由条件左右除以x,得x+1/x=3平方得:x2+1/x2+2=9所以x2+1/x2—2=5所求值为根号5
x2-3x+1=0,两边同时除以x得,x-3+1x=0,x+1x=3,两边平方得,x2+2+1x2=9,即x2+1x2=7,原式=1x2+3+1x2=17+3=110.
x^2+3x+1=0方程两边同除以xx+3+1/x=0x+1/x=-3x^2+1/x^2=(x+1/x)^2-2=(-3)^2-2=9-2=7
等式两边同除以xx+3+1/x=0x+1/x=-3x²+1/x²+2x+2/x=(x+1/x)²-2+2(x+1/x)=(-3)²-2+2(-3)=9-2-6=
x3-3x2-11x+8=x(x2-3x)-11x+8=x-11x+8=-10x+8
(x+1)(x-2)(x+3)(x-4)+16=0,(x²-x-2)(x²-x-12)+16=0(x²-x)²-14(x²-x)+24+16=0(x&
式子两边同时除以X得X+3-1/X=0所以X-1/X=-3所以X+1/x=正负根号13再问:X-1/X=-3和X+1/x=正负根号13之间有什么关系吗?怎么得来的?再答:提供公式(a+b)²
x2-3x+1=0两边同时除以X,得X-3+1/X=0移项,得X+1/X=3接着两边同时平方,得(X+1/X)^2=3^2展开X^2+2*X*1/X+1/X^2=9X^2+2+1/X^2=9X^2+1
x2+3x+1=0∵x≠0∴两边同时除以x有:x+3+1x=0故x+1x的值为-3.
即(x²+4x+4)+(y²-6y+9)=0(x+2)²+(y-3)²=0所以x+2=y-3=0x=-2,y=3所以原式=(4+4)/(4+27)=8/31
∵x²-3x+1=0∴x+1/x=3(x+1/x)²=3²x²+1/x²=7(x²+1/x²)=7²x^4+1/x^4=
2f(x^2)+f(1/x^2)=x则2f(t)+f(1/t)=根号t用t=1/x^2带入得到2f(1/x^2)+f(x^2)=1/x与2f(x^2)+f(1/x^2)=x联立得3f(1/x^2)=2
已知X1X2为方程5X平方-3X-1=0两个根;所以x1+x2=3/5;x1x2=-1/5;x1-x2=√(x1-x2)²=√[(x1+x2)²-4x1x2]=√(9/25+4/5
M={x|x(x-2)>0}={x|x2}N={x|(x-1)(x-3)
你好x²+3x-1=0两边同除以xx+3-1/x=0x-1/x=-3两边平方得x²+1/x²-2=9x²+1/x²=11x²+1/x
X2-3X-1=0则X-3-1/X=0则X-1/X=3则(X-1/X)²=3²=9则X²-2+1/X²=9则X²+1/X²=9+2=11