¡Ô(5x^2-6x+1)+ ¡Ô(5x^2+9x-2)=5x-1

¡Ô(5x^2-6x+1)+¡Ô(5x^2+9x-2)=5x-1
==>¡Ô[(5x-1)(x-1)]+¡Ô[(5x-1)(x+2)]=5x-1
¥O5x-1=y
¡Ô[y(x-1)]+¡Ô[y(x+2)]=y
==>y(x-1)+2¡Ô[y^2(x-1)(x+2)]+¡Ô(x-2)=y^2
yx-y+2y¡Ô(x-1)(x+2)]+¡Ô(x-2=y^2)
==>x-1+2¡Ô[(x-1)(x+2)]+x+2=y
y¤w5x-1±a¦^¥h
2x+1+2¡Ô[(x-1)(x+2)]=5x-1
2¡Ô[(x-1)(x+2)]=3x-2
==>4(x-1)(x+2)=(3x-2)^2
4(x^2+2x-x-2)=9x^2-12x+4
4x^2+4x-8=9x^2-12x+4
5x^2-16x+12=0
(5x-6)(x-2)=0
x=6/5 or 2

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¡Ô(5x^2-6x+1)+ ¡Ô(5x^2+9x-2)=5x-1
¡Ô[(5x-1)(x-1)]+¡Ô[(5x-1)(x+2)]=5x-1
(¡Ô(5x-1))(¡Ô(x-1)+¡Ô(x+2))=5x-1
¡Ô(x-1)+¡Ô(x+2)=¡Ô(5x-1)
2x+1+2¡Ô((x-1)(x+2))=5x-1
2¡Ô((x-1)(x+2))=3x-2
4x^2+4x-8=9x^2-12x+4
5x^2-16x+12=0
x=(16¡Ó4)/10
x=2 or 6/5

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¡Ô(5x^2-6x+1)+ ¡Ô(5x^2+9x-2)=5x-1
¡Ô[(5x-1)(x-1)]+¡Ô[(5x-1)(x+2)]=5x-1
¡Ô(x-1)+¡Ô(x+2)=¡Ô(5x-1)
2x+1+2¡Ô((x-1)(x+2))=5x-1
2¡Ô((x-1)(x+2))=3x-2
5x^2-16x+12=0
x=2 or 6/5

¡Ô(5x^2-6x+1)+¡Ô(5x^2+9x-2)=5x-1
¡Ô[(5x-1)(x-1)]+¡Ô[(5x-1)(x+2)]=5x-1
¥O5x-1=A
¡Ô[A(x-1)]+¡Ô[A(x+2)]=A
A(x-1+X+2)+2¡Ô[A^2(x-1)(x+2)]=A^2
2Ax+A+2A¡Ô(x-1)(x+2)]=A^2
2x+1+2¡Ô(x^2+x-2)=A
±a¤JA=5x-1
5x^2-16x+12=0
x=2©Î6/5

¡Ô(5x-1)(x-1)+¡Ô(5x-1)(x+2)=5x-1
¥Oy=5x-1
¡Ôy(x-1)+¡Ôy(x+2)=y
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y(x-1)+2¡Ôy^2(x-1)(x+2)+y(x+2)=y^2
y(2x+1)+2¡Ôy^2(x-1)(x+2)=y^2
2¡Ôy^2(x-1)(x+2)=y(y-2x-1)
¥N¤Jy=5x-1
2¡Ôy^2(x-1)(x+2)=y(3x-2)
¨âÃ䥭¤è
4y^2(x-1)(x+2)=y^2(9x^2-12x+4)
y^2[4(x-1)(x+2)-(9x^2-12x+4)]=0
¥N¤Jy=5x-1
(5x-1)^2(5x^2-16x+12)=0
(5x-1)^2(x-2)(5x-6)=0
x=1/5, 2, 5/6

¦³¤T¸Ñ1/5, 2, 5/6

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§Y(5x-1)[f(x)-g(x)]=0
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