因式分解X²-根号3X-1 4=0
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原式化简为x²-√3x-1/2=0x²-√3x+3/4-3/4-1/2=0(x-√3/2)²--5/4=0(x-√3/2-√5/2)(x-√3/2+√5/2)=0x=(√
原式=(x³+8)+7x²+14x=(x+2)(x²-2x+4)+7x(x+2)=(x+2)(x²+5x+4)=(x+2)(x+1)(x+4)
1.2x^2=3xx(2x-3)=0x=0或2/32.(根号2-2)x的2次方=(根号2-2)xx^2=xx(x-1)=0x=0或13.根号5x的2次方+根号3x的2次方=05x+3x=0x=04.x
x²-根号3x-18=(x²-√3x+3/4)-75/4=(x-√3/2)²-(5√3/2)²=(x-√3/2+5√3/2)(x-√3/2-5√3/2)=(x+
(x-1)^2+(2x+1)(x-1)+3x^2-3=(x-1)^2+(2x+1)(x-1)+3(x+1)(x-1)=(x-1)(x-1+2x+1+3x+3)=3(x-1)(2x+1)x=根号2/2代
2x²-2根号3x-1=02x²-2√3x-1=0x²-√3x-1/2=0-1=[(√3+2√5)/√2]*[(√3-2√5)/√2]所以[x-(√3+2√5)/√2]*
x^2+(1+2根号3)x+3+根号3=0(x+根号3)(x+1+根号3)=0x=-根号3或x=-1-根号3再问:x^2+(1+2根号3)x+3+根号3=0(x+根号3)(x+1+根号3)=0能详细解
(x+1)(x-3)=x²-3x+x-3=x²-2x-3
第一题x^2-(√2+√3)x+√6=(x-√2)(x-√3)第二题a^4-4a^2-12=(a-6)(a+2)
解原方程得x1=(根号3+根号11)/4x2=(根号3-根号11)/4则2x平方-根号3x-1=2(x-(根号3+根号11)/4)*(x-(根号3-根号11)/4)
(1)x²+x=0x(x+1)=0x1=0x2=-1(2)x²-2√3x=0x(x-2√3)=0x1=0x2=2√3(3)4x²-121=0(2x+11)(2x-11)=
x³-5x²-14x=X(X²-5X-14)=X(X-7)(X+2)
x²-√3x-4分之1=0左边进行配方有:(x-根号3/2)²-1=0→(x-根号3/2)²-1²=0使用平方差公式分解左边有:(x-根号3+1)(x-根号3-
X方-2倍根号3X=0提取xx(x-2倍根号3)=0x=0或x=2倍根号3像这样的问题自己多尝试下,下次才会的!
(x+1)^2=(2x-1)^2(x+1)^2-(2x-1)^2=0(x+1+2x-1)(x+1-2x+1)=0(3x)(2-x)=0x=0或者x=2(√3+1)x²-x=0x((√3+1)
原题可变为4(根号2-x)²=3(根号2-x)4(根号2-x)-3(根号2-x)=0(根号2-x)(4(根号2-x)-3)=0(根号2-x)(4根号2-4x-3)=0因此根号2-x=0或4根
因式分-2x的平方+4x-1=-2(x²-2x+1-3/2)=-2[(x-1)²-6/4]=-2(x-1+√6/2)(x-1-√6/2)解不等式:(根号2)x>(根号3)x+1-1
原式=x^4+8√3x²+(48-49)=[(x²)²+(2·1·4√3)x²+(4√3)²]-49……(配成完全平方公式)=(x²+4√3