解:
2x²-7=5x
2x²-5x-7=0
(1)公式法
a=2 b=-5 c=-7
代入求根公式得
x=[5±√(25+4*2*7)]/4=(5±9)/4
x1=7/2 x2=-1
(2)因式分解法
2x²-5x-7=0
(2x-7)(x+1)=0
2x-7=0或x+1=0
x1=7/2 x2=-1
(3)配方法
2x²-5x-7=0
x²-5x/2=7/2
x²-5x/2+(5/4)²=7/2+25/16
(x-5/4)²=81/16
x-5/4=±9/4
x=5/4±9/4
x1=7/2 x2=-1
2x^2-5x-7=0
1、求根公式:
x=5±√81/4
x=5±9/4
x=-1或7/2
2、因式分解:(2x-7)(x+1)=0
解得x=-1或x=7/2
3、配方法:
2x^2-5x=7
2(x^2-5/2x+25/16)=7+25/8
2(x-5/4)^2=81/8
(x-5/4)^2=81/16
x-5/4=9/4或x-5/4=-9/4
x=7/2或x=-1