\(\frac{x+5}{x-5}+\frac{x-5}{x+5}=3\)
<=> (x + 5)^2 + (x - 5)^2 = 3(x - 5)(x + 5)
<=> x^2 + 10x + 25 + x^2 - 10x + 25 = 3x^2 - 75
<=> 2x^2 + 50 = 3x^2 - 75
<=> 2x^2 + 50 - 3x^2 = -75
<=> -x^2 + 50 = -75
<=> -x^2 = -75 - 50
<=> -x^2 = -125
<=> x = +-\(\sqrt{125}\)
<=> x = +-5\(\sqrt{5}\)
Bài1:Rút gọn
a,(4x-5)(3x+2)-(7-3x)(x+2)
b,(-2x+1)(x-5)-3(x-2)(x+1)
c,(x^2-7)(x-5)+(3x^2+5)(2x-4)
d,(x^2+3x-2)(x+4)-4x(x-5)
Bài2:Tìm xbiết
a,(x-4)(x+3)-(x+1)(x-5)=8
b,(3x-2)(x+1)-3x(x+7)=13
c,(x+5)(x-5)-x(x+2)=9
d,(x-1)(x^2+x+1)-x(x^2-3)=1
giải các phương trình sau
1/ ( x-2)(x-5)=(x-3)(x-4)
2/ (x-7)(x+7) +x^2 -2=2(x^2+5)
3/ (x-1)^2 +(x+3)^2 =2(x-2)(x=2)
4/ (x+1)^2= (x+3)(x-2)
5/ x^2-(2x-1)(x+3)= 3-x(5+x)
6/ 3(5-2x) -4( x+2) =5x-18
giải phương trình
a.(2x- 1)x x^2+ 9x (1 - 2x) = 0
b. \(\dfrac{x+4}{5}\)-x -5= \(\dfrac{x+3}{3}\)- \(\dfrac{x-2}{2}\)
c.(x- 5)x (6x+ 3)= (2x-7)x (3x + 5)
d. \(\dfrac{x+4}{5}\)-2x+ 1= \(\dfrac{x}{3}\)- \(\dfrac{2-x}{6}\)
giải các phương trình sau
1/ 2 ( x-5) =(-x-5)
2/ 2(x+3)-3(x-1)=2
3/ 4(x-5) -(3x-1) =x-19
4, 7-(x-2) =5(2-3x)
5, 2x-(5-3x)=7x+1
tim gia tri cua bien thoa man mot dieu kien cho truoc
1) (x-2)^3-(x-3)*(x^2+3x+9)+6(x+1)^2=49
2) x(x+5)(x-5)-(x+2)(x^2-2x+4)=42
3) (x+3)^3-(x+1)^3=56
4) (3x-5)(5-3x)+9(x+1)^2=30
5) x(x+5)(x-5)-(x+2)(x^2-2x+4)=42
HO MIK VS A CAM ON MN
tìm x
a,(x+5)(x-5)-x(x+3)=10 b,(2x+3)(2x-3)-4(x+2)^2=5
c,9x(x+5)-(3x+2)(3x-2)=7 d,(x+1)^3-x(x^2+3x-5)=8
Bài 19 Rút gọn
1) (x+2)^2+(3-x)^2
2) (4-x)^2 -(x-3)^2
3) (x-5)(x+5)-(x+5)^2
4) (x-3)^2-(x-4)(x+4)
5) (y^2 -6y+9)-(3-y)^2
6. (2x+3)² –(2x–3).(2x+3)
A=(x-3)^3+(2-x)^3+(x+4)^2+(1-x)^2-(5-x).(5+x) tại x=5
giải các phương trình sau
a)3x-6=0 b)(3x+2)(4x-5)=0
c)2x-5/3 +x-3/5 =4x+3/15 d)5/x-3 +4/x+3 =x-5/x bình-9
