Question

急！请用配方法帮我解出这一道方程：2x�0�5+1=3x

请写出计算过程!

Answer 1

配方法：2x�0�5+1=3x2x�0�5-3x+1=0x�0�5-3/2x+1/2=0x�0�5-2*3/4*x+(3/4)�0�5=(3/4)�0�5-1/2(x-3/4)�0�5=1/16x=3/4±1/4x=1或x=1/2 ________________十字相乘法：2x�0�5+1=3x2x�0�5-3x+1=0（2x-1）（x-1）=0x=1/2或x=1

Answer 2

解: 2x^2+1=3x 2x^2-3x+1=0 x^2-3/2x+1/2=0 x^2-3/2x+9/16-9/16+1/2=0 (x-3/4)^2-1/16=0 x-3/4 =1/4 x=1 或x-3/4=-1/4 x=1/2

Answer 3

2(x^2-3x/2+9/16)=1/8
(x-3/4)^2=1/16
x=1/2或1