因式分解法解下列方程 1.X²-7X+6=0 2.(5X-1)²=3(5X-1) 3.(2X-5)²-(X+4)²=0因式分解法解下列方程1.X²-7X+6=02.(5X-1)²=3(5X-1)3.(2X-5)²-(X+4)²=0

问题描述:

因式分解法解下列方程 1.X²-7X+6=0 2.(5X-1)²=3(5X-1) 3.(2X-5)²-(X+4)²=0
因式分解法解下列方程
1.X²-7X+6=0
2.(5X-1)²=3(5X-1)
3.(2X-5)²-(X+4)²=0

2+5=10

(X-1)(X-6)=0
(5X-1)(5X-4)=0
(3X-1)(X-9)=0

1.X²-7X+6=0
(X-6)(X-1)=0
X1=6 X2=1
2.(5X-1)²=3(5X-1)
(5X-1)²-3(5X-1)=0
(5X-1)(5X-1-3)=0
X1=1/5 X2=4/5
3.(2X-5)²-(X+4)²=0
4X²-20X+25-X²-8X-16=0
3X²-28X+9=0
(3X-1)(X-9)=0
X1=1/3 X2=9

1.X²-7X+6=0
(x-1)(x-6)=0
x-1=0,x-6=0
x=1, x=6
2.(5X-1)²=3(5X-1)
(5X-1)²-3(5X-1)=0
(5X-1)(5X-1-3)=0
5X-1=0,5X-4=0
x=0.2,x=0.8
3.(2X-5)²-(X+4)²=0
(2X-5+X+4)(2X-5-x-4)=0
3x-1=0,x-9=0
x=1/3,x=9