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4x^2+6x%3=0配方法解

(1)x2+4x-2=0,x2+4x=2,x2+4x+4=2+4,(x+2)2=6,x+2=±6,x1=-2+6,x2=-2-6; (2)x2+3x+1=0,b2-4ac=32-4×1×1=5,x=?3±52,x1=?3+52,x2=-3+52;(3)4(x+1)2=(x-5)2,2(x+1)=±(x-5),2x+2=x-5,2x+2=-x+5,x1=-7,x2=1; (4)x+...

2x^2+4x=1 x^2+2x=1/2 x^2+2x+1=3/2 (x+1)^2=3/2 x+1=±√6/2 x=-1±√6/2

答: 1) 4(x+1)²=k 2(x+1)=±√k x+1=±(√k) /2 x=-1±(√k) /2 2) 2x²+3x=1 2(x²+3x/2+9/4)=1+9/2 2(x+3/2)²=11/2 (x+3/2)²=11/4 x+3/2=±√11/2 x=(-3±√11)/2 3) 3x²-2=4x 3x²-4x=2 3(x²-4x/3+4/9)=2+4/3 3...

(1)x(3x-5)=0,x=0或3x-5=0,∴x1=0,x2=53.(2)2x-1=±4,∴2x-1=4或2x-1=-4,∴x1=52,x2=-32.(3)x2+4x+4=6,(x+2)2=6,∴x+2=6或x+2=-6,∴x1=-2+6,x2=-2-6;(4)x2+2x-3+4=5+4,(x+1)2=9,x+1=±3,∴x+1=3或x+1=-3,∴x1=2,x2=-4.

(1)x平方-4x+1=0 x^2-4x=-1 x^2-4x+4=-1+4 (x-2)^2=3 x-2=正负根号3 x=2+根号3,或x=2-根号3 (2)-x平方+2x+5=0 x^2-2x=5 x^2-2x+1=5+1 (x-1)^2=6 x-1=正负根号6 x=1+根号6,或x=1-根号6

2x²+4x=1 2x²+4x-1=0 2x²+4x+2-2-1=0 2(x²+2x+1)-3=0 2(x+1)²=3 x+1 =±√6/2 x=±√6/2-1 x²-6x+3=0 x²-6x+9-9+3=0 (x-3)²-6=0 x-3 =±√6 x=3±√6 x²+2x=2 x²+2x+1=2+1 (x+1)²=3 x+1...

=(-6-p)x+6p

(1)y=2x2-4x-6=2(x2-2x+1)-2-6=2(x-1)2-8;(2)令x=0,得y=-6,令y=0,得2x2-4x-6=0,解得x=-1或x=3,则抛物线与x轴的交点为:(-1,0),(3,0);与y轴的交点为:(0,-6).由(1)题得:对称轴为x=1,顶点坐标为(1,-8),开口向上...

x1^2+3x2^2+8x3^2+4x1x2+6x1x3+10x2x3 =(x1 + x2 + 2 x3) (x1 + 3 x2 + 4 x3)

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