(8-2x)(7-2x)=12求解

问题描述:

(8-2x)(7-2x)=12求解

(8-2x)(7-2x)=12
即为:(2x-8)(2x-7)=12
4x^2-30x+56=12
4[x^2-15/2x+(15/4)^2]-4*225/16+56=12
4(x-15/4)^2-225/4+56=12
4(x-15/4)^2=12+225/4-56
(x-15/4)^2=49/16
x-15/4=±7/4
解得:x=15/4±7/4
即:x=11/2 或x=2

56-30x+4x²=12
2x²-15x+22=0
(2x-11)(x-2)=0
∴x=11/2 x=2