x平方-2xsinr+根号3sinr-4分之3等于0
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x^2+√3x-√2x-√6=(x^2+√3x)-(√2x+√6)=x(x+√3)-√2(x+√3)=(x-√2)(x+√3)
根号2x平方-3X+根号2=0由十字相乘法进行因式分解得:(√2x-1)(x-√2)=0x=√2/2或x=√2
因为x=√3+1所以x﹥0,x-1﹥0原式=√[x/(1-2x+x)]=√[x/(x-1)]=x/(x-1)=(√3+1)/(√3+1-1)=(√3+1)/(√3)=[(√3+1)×√3]/(√3×√
原式=2/3x*3√x-√(x^4*1/x3;)+6x√x/√4=2x√x-√x+3x√x=5x√x-√x
3√(x^2-2x+1)-√(x^2+4x+4)=3|x-1|-|x+2|={3(x-1)-(x+2)=2x-5,x>=1;{3(1-x)-(x+2)=1-4x,-2
(√3-√2)x²-(√3+√2)x=0x[(√3-√2)x-(√3+√2)]=0x=0,x=(√3+√2)/(√3-√2)所以x=0,x=5+2√6
(√3+1)x^2-√3x+2-√3=0[(√3+1)x+1][x-(2-√3)]=0x=-1/(√3+1)或x=2-√3x=-(√3-1)/(√3+1)(√3-1)或x=2-√3x=-(√3-1)/
(1+根号2)X平方-(3+根号2)X+根号2=0利用十字相乘法得:[(1+根号2)x-1](x-根号2)=0x1=1/(1+根号2)=(根号2)-1x2=根号2
√2x²+4√3x-2√2=0△=(4√3)²+4×√2×2√2=48+16=64x=(-4√3±8)/2√2=(-√6±2√2)∴x1=-√6+2√2,x2=-√6-2√2明教为
x^2-(2√2+3√3)x+6√6=0(x-3√3)(x-2√2)=0x-3√3=0,x-2√2=0x1=3√3,x2=2√2
两边除以√2x²+2√6x=2x²+2√6x+6=2+6(x+√6)²=8x+√6=±2√2x=-√6-2√2,x=-√6+2√2
数学之美团为你解答(√2x+√3)=4√2x+√3=2或√2x+√3=-2x=(2-√3)/√2或x=-(2+√3)/√2x=(2√2-√6)/2或x=-(2√2+√6)/2
(根号3-根号2)x平方-1/根号3-根号2=0(√3-√2)x²=1/(√3-√2);x²=1/(√3-√2)²;x=±1/(√3-√2)=±(√3+√2)/(3-2)
√2x²-√3x+√3-√2=0(x-1)(√2x+√2-√3)=0x=1或x=√6/2-1
x²+(√6+√2)x+2√3=0所以△=b²-4ac=6+2√12+2-8√3=6-2√12+2=(√6-√2)²所以x=[-(√6+√2)±(√6-√2)]/2所以x
由题意得:-1≤x≤2,则:√(x+1)²+√(x-3)²=|x+1|+|x-3|=(x+1)+(3-x)=4
等式两边同时平方,得12×3x=2(x平方+1)等式两边同时除以2,并将左边移到右边,得x平方-6x+1=0解得x=2根号2+3或-2根号2+3,两个解均满足x≥0(x在根号下),故均成立
√3(x²-x)-√2(x²+x)=0√3x(x-1)-√2x(x+1)=0x(√3x-√3-√2x-√2)=0x[(√3-√2)x-(√3+√2)]=0所以x1=0x2=(√3+
解√3(x²-1)=x(x-2)+1√3(x²-1)=x²-2x+1√3(x-1)(x+1)=(x-1)²当x=1时,显然成立当x≠1时方程两边除以x-1∴√3