9x²=16(x+1)²
解:3x= ±4(x+1); 所以3x=4(x+1)或3x=-4(x+1); 即x=-4或x=-4/7;
3(x-2)²=x(2-x)
解:3(x-2)²-x(2-x)=(3x-6)(x-2)+x(x-2)=(x-2)(3x-6+x)=2(x-2)(2x-3)=0;
x₁=2; x₂=3/2;
(x-2)²-6(x-2)+10=1
解:(x-2)²-6(x-2)+9=(x-2-3)²=(x-5)²=0; x₁= x₂=5;
解:3x= ±4(x+1); 所以3x=4(x+1)或3x=-4(x+1); 即x=-4或x=-4/7;
3(x-2)²=x(2-x)
解:3(x-2)²-x(2-x)=(3x-6)(x-2)+x(x-2)=(x-2)(3x-6+x)=2(x-2)(2x-3)=0;
x₁=2; x₂=3/2;
(x-2)²-6(x-2)+10=1
解:(x-2)²-6(x-2)+9=(x-2-3)²=(x-5)²=0; x₁= x₂=5;