为解方程(x²-1)²-5(x²-1) 4=0
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(x+3)(2x-5)-(2x+1)(x-8)=412x^2+x-15-2x^2+15x+8=4115x+x=41+15-816x=48x=3
(x-6)(x^2+x+1)-x(x+1)(x-1)=x(2-5x)x^3+x^2+x-6x^2-6x-6-x^3+x=2x-5x^2-4x-6=2x6x=-6x=-1
x=3这个没有很好的解法,可以分别代入x=1,2,3,……,逐个尝试寻找方程的解
x(2x-4)+3x(x-1)=5x(x-3)+82x²-4x+3x²-3x=5x²-15x+88x=8x=1
我给个思路吧(X+2-1/X+2)-(X+3-1/X+3)=(X+6-1/X+6)-(X+7-1/X+7)1-1/(X+2)-1+1/(X+3)=1-1/(X+6)-1+1/(X+7)剩下的就自己解决
把等式右边的全部移项到左边,右边只保留0的形式根据b2(b的平方)-4ac《0解出k的范围再问:可以带上详细步骤吗?这样我不好理解啊!再答:按我说的写下来用数学式子把语言翻译过来就看懂了,我这边不好输
A.3x-2=2x3x-2=2x则3x-2x-2=0(3-2)x-2=01x-2=0x-2=0x=2B.解4x-1=2x+3则4x-1-2x=34x-1-2x-3=04x-2x-1-3=0(4-2)x
2x+4x+6x...+100x=1-(x+3x+5x+...+99x)x(2+4+6+...+100)=1-x(1+3+5+...99)x(2+4+6+...+100)+x(1+3+5+...+99
x/(x-2)=2x/(x-3)+(1-x)/(x-5x+6)x/(x-2)=2x/(x-3)+(1-x)/(x-2)(x-3)x(x-3)/(x-2)(x-3)=2x(x-2)/(x-2)(x-3)
f(x的平方)=(x²-1)/(x²+1)所以(x²-1)/(x²+1)=3/55(x²-1)=3(x²+1)=>2x²=8=>x
最后化简为 3^x+1=5^x+1即 (5/3)^x+1=1得x=-1
(1/x-7)+(1/x-1)=(1/x-6)+(1/x-2)1/(X-7)-1/(X-6)=1/(X-2)-1/(X-1)(X-6-X+7)/[(X-7)(X-6)]=(X-1-X+2)/[(X-1
2/x-1=5x/x²+12(x²+1)=5x(x-1)2x²+2=5x²-5x3x²-5x-2=0(3x+1)(x-2)=0x1=-1/3x2=2
(x+1)(x-3)=2x+5x²-2x-3=2x+5x²-4x=8x²-4x+4=8+4(x-2)²=12x-2=±2√3x=2-2√3,x=2+2√3
(x+1/x)^2-{7(x^2+1)/2x}+5/2=02(x+1/x)^2-7(x+1/x)+5=0(x+1/x)=1或5/2x^2-x+1=0无解2x^2-5x+2=0x=2或1/2
设X为正数则:(X+2)-(3X+5)=1+X解得X=-4/3设X为负数则:(-X+2)-(-3X+5)=1+(-X)解得X=4/3
log以(4x+5)为底(x²+4x+4)=log以(4x+5)为底(x+2)²=2log以(4x+5)为底(x+2)令log以(x+2)为底(4x+5)=t则t-2/t-1=0∴