简便方法解方程
x-1/3[x-1/4(x-2/3)]-3/2=2x+3/2用简便方法计算
解:化简为:-1/3[x-1/4(x-2/3)]=x+3 x-1/4(x-2/3)=-3x-9 -1/4(x-2/3)=-4x-9 x-2/3=16x+36 x=-22/9
(2-1+1/3-1/12)x=-(1/3)(1/4)(2/3)-(3/2+3/2) ==> (5/4)x=-55/18 ==> x=-22/9
x-1/3[x-1/4(x-2/3)]-3/2=2x+3/2, (两边乘以2) 2x-2/3[...]-3=2x+3, (2x抵消,两边乘以-3/2) x-1/4(x-2/3)=-9, (两边乘以4) 3x+2/3=-36 (两边除以3) x=-12-2/9=-110/9
答:1/(x-2)+3=1/(2-x)-x 两边乘(x-2) 1+3x-6=-1-x²+2x x²+x-4=0 x²+x+1/4=4+1/4 (x+1/2)²=...详情>>
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