1.Giải phương trình
a, 1 /x-3 +2 = 5/x-1 +x
b, (x-2) (x+5) -7x= (x-1) (x+3)
c,2x^2 +x -1=0
d,4x^2 -17x +4=0
e,x^3 +9x^2 +26x +24= 0
f,(4x +3)^2 =x^2 +2x+1
1.Giải phương trình
a, 1 /x-3 +2 = 5/x-1 +x
b, (x-2) (x+5) -7x= (x-1) (x+3)
c,2x^2 +x -1=0
d,4x^2 -17x +4=0
e,x^3 +9x^2 +26x +24= 0
f,(4x +3)^2 =x^2 +2x+1
a )1x -3 + 2= 5x -1 +x
⇔1x -3 +2 =6x -1
⇔1x-6x =-1 +3-2
⇔ -5x = 0
⇔x = 0:5
⇔x =0
b) (x-2)(x+5)-7x=(x-1)(x+3)
⇔ x^2+ 5x-2x-10-7x=x^2+3x-x-3
⇔x^2+ 5x-2x-7x-x^2-3x+x= -3+10
⇔-7x=7
⇔x=7 =-1
c) 2x^2-1 =0
⇔2x^2=1
⇔x^2 =1
2
⇔x= √1 ≈0.7
2
d)4x^2 -17x +4=0
⇔4x^2 -4x-1 x+4=0
4
⇔(4x^2-1 x)-(4x-4)=0
4
⇔4x(x-1)-4(x-1)=0
⇔(x-1)(4x-4)=0
⇔x-1=0 hoặc 4x-4=0
⇔x=1hoặc⇔ 4x=4
⇔x=4:4
⇔x=1
e)x^3 +9x^2 +26x +24= 0
⇔(x+3)³=0
⇔x+3=0
⇔x=-3
f)(4x +3)² =x²+2x+1
⇔(4x+3)²-(x+1)²=0
⇔(4x+3-x+1)(4x+3+x-1)=0
⇔4x+3-x+1=0 hoặc4x+3+x-1=0
⇔3x=-4 hoặc⇔5x=-2
⇔x= 3 = -3 hoặc⇔x=-2
-4 4 5