解下列方程(一元二次方程)(2)(x-1)∧2+2x(x-1)=0(3)2x∧2-4x-5=0(4)-3x∧2-4x+4=0(5)3x(x-1)=2-2x(6)(x-1)(x+2)=70(7)x(x+6)=7(8)(3-x)∧2+x∧2=9
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解下列方程(一元二次方程)(2)(x-1)∧2+2x(x-1)=0(3)2x∧2-4x-5=0(4)-3x∧2-4x+4=0(5)3x(x-1)=2-2x(6)(x-1)(x+2)=70(7)x(x+6)=7(8)(3-x)∧2+x∧2=9
解下列方程(一元二次方程)
(2)(x-1)∧2+2x(x-1)=0
(3)2x∧2-4x-5=0
(4)-3x∧2-4x+4=0
(5)3x(x-1)=2-2x
(6)(x-1)(x+2)=70
(7)x(x+6)=7
(8)(3-x)∧2+x∧2=9
解下列方程(一元二次方程)(2)(x-1)∧2+2x(x-1)=0(3)2x∧2-4x-5=0(4)-3x∧2-4x+4=0(5)3x(x-1)=2-2x(6)(x-1)(x+2)=70(7)x(x+6)=7(8)(3-x)∧2+x∧2=9
(2)(x-1)(x-1+2x)=0
(x-1)(3x-1=0
x-1=0或者3x-1=0
x=1或者x=1/3
(3) 2x^2-4x+2=3
2(x-1)^2=3
(x-1)^2=3/2
x-1=±√(3/2)
x1=√(3/2)+1 X2=1-√(3/2)
(4)-3x^2-4x+4=0 3x^2+4x-4=0 (x+2)(3x-2)=0 x=-2或者2/3
(5) 3x(x-1)=2-2x 3x^2-3x+2x-2=0 3x^2-x-2=0 (-x+1)(-3x-2)=0 x=1或者-2/3
(6)(x-1)(x+2)=70 x^2+2x-x-2=70 x^2+x-72=0 (x-8)(x+9)=0 x=8或者-9
(7)x(x+6)=7 x^2+6x-7=0 (x-1)(x+7)=0 x=1或者-7
(8)(3-x)^2+x^2=9 9-6x+x^2+x^2=9 2x^2-6x=0 2x(x-3)=0 x=0或者x=3