用因式分解法解方程:(1+根號2)x²-(1-根號2)x=0 LL還沒上初三,開學要學啊.

用因式分解法解方程:(1+根號2)x²-(1-根號2)x=0 LL還沒上初三,開學要學啊.

(1+√2)x²-(1-√2)x=0
x{(1+√2)x-(1-√2)}=0
x1=0
x2=(1-√2)/(1+√2)=(1-√2)^2/(1+√2)(1-√2)=(2-2√2+1)/(1-2)=2√2-3

x²-2根號5x-1=0怎樣變成x²-2根號5x=1然後怎麼配成(x-根號5)2=1+(根號)2 我需要解題思路和

∵a^2-2*a*b+b^2=(a-b)^2
∴x^2-2*√5*x-1=0
x^2-2*√5*x=1
x^2-2*√5*x+(√5)^2=1+(√5)^2
(x-√5)^2=1+5
(x-√5)^2=6

x-1 x2-2x+1÷1 x2-1=______(其中x= 2-1).

原式=x-1
(x-1)2•(x-1)(x+1)
=x+1;
當x=
2-1時,原式=
2-1+1=
2.
故答案為
2.

先化簡,再求值x-4/(x²-1)除以x²-3x-4/(x²+2x+1)+1/(x-1),其中x=2倍根號3+1

您好:x-4/(x²-1)除以x²-3x-4/(x²+2x+1)+1/(x-1)=(x-4)/(x+1)(x-1)÷(x+1)(x-4)/(x+1)²+1/(x-1)=1/(x-1)+1/(x-1)=2/(x-1)=2/(2√3+1-1)=2/2√3=1/√3=√3/3如果本題有什麼不明白可…

化簡求值:1 x+2−x2+2x+1 x+2÷x2−1 x−1,其中x= 2-2.

原式=1
x+2−(x+1)2
x+2•x−1
(x+1)(x−1)
=1
x+2−x+1
x+2
=−x
x+2;
當x=x=
2-2時,原式=−
2−2
2−2+2=
2−1.

先化簡,再求值(2x-x分之1+x的平方)除以x分之x-1,其中x=根號2

(2x-x分之1+x的平方)除以x分之x-1,其中x=根號2
=[2x²-(1+x²)]/x÷(x-1)/x
=(x²-1)/(x-1)
=(x-1)(x+1)/(x-1)
=x+1
=√2+1

化簡求值:x平方-2x/x平方-1除以(x-1-2x-1/x 1)其中x=2根號2 化簡求值:x平方-2x/x平方-1除以(x-1-2x-1/x+1)其中x=2+根號2

x平方-2x/x平方-1除以[(x-1)-(2x-1/x+1)]
=[x(x-2)/(x+1)(x-1)]/[(x^2-1-2x+1)/(x+1)]
=x(x-2)/(x+1)(x-1)×(x+1)/x(x-2)
=1/(x-1)
=1/(2+根號2-1)
=1/(根號2+1)
=根號2-1

化簡二次根式a根號—a²/a+2=_____.

-(a+2)/a²

最簡二次根式化簡:根號a²分之1+b²分之1(a>0,b>0)

原式=√[(a^2+b^2)/(ab)^2]=√(a^2+b^2)/|ab|.

當|x-2|

|x-2|