è§£ï¼ 4(2x-1)^2-9(x+4)^2=0.
[2(2x-1)]^2-[3(x+4)}^2=0.
[2(2x-)+3(x+4)][2(2x-1)-3(x+4)]=0.
2(2x-1)+3(x+4)=0,
4x+3x-2+12=0.
7x+10=0,
7x=-10,
x1=-10/7ï¼
2(2x-1)-3(x+4)=0.
4x-3x-2-12=0.
x-14=0.
x2=14.
â´åæ¹ç¨ç解为ï¼
x1=-10/7,
x2=14.
x^2-4x-5=0.
(x+1)(x-5)=0.
x+1=0, x1=-1,
x-5=0, x2=5.
(x-1)^2=3.
x-1=屉3.
x=1屉3.
x1=1+â3,
x2=1-â3.
x^2-2x=4.
x^2-2x-4=0.
(x-1)^2-1-4=0.
(x-1)^2=5.
(x-1)=屉5.
x=1屉5.
x1=1+â5,
x2=1-â5.
(x-1)^2-6(x-1)+9=0.
[(x-1)-3]^2=0.
x-1-3=0.
x-4=0.
x=4.
x1=x2=4 ã两个çæ ¹ãã
4y(y-3)+25=0.
4y^2-12y+25=0.
æ¹ç¨çå¤å«å¼â³=(-12)^2-4*4*25;
â³=144-400=-256<0.
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æ 解ãä½å¨å¤æ°èå´å
æ解.
ç¨å
¬å¼æ³ï¼
x1,2={[-(-12)屉[(-12)^2-4*4*25]}/2*4.
=(12±(â256)i]/8.
=(12±16i)/8.
=(3±4i)/2
=(3/2)±2i.
â´åæ¹ç¨å¨å¤æ°èå´å
ç解为ï¼
x1=(3/2)+2i)ï¼
x2=(3/2)-2i.
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