ĐKXĐ: (x-1)(x-2)(x-3)>=0
=>1<=x<=2 hoặc x>=3
ĐKXĐ: (x-1)(x-2)(x-3)>=0
=>1<=x<=2 hoặc x>=3
Giải các phương trình sau:
1) 2 1 5 x 2) 2 1 5 x x
3) 3 1 2 x x 4) 3 2 2 x x
5) 2 1 5 x x 6) 3 2 x x
7) 2 3 2 1 x x 8) 2 1 4 1 0 x x 2
9) 2 5 4 3 1 1 2
3 2 3 1
x x
x x x x
10) 1 7 3 2
3 3 9
x x x
x x x
11) 5 296 2 1 3 1
16 4 4
x x
x x x
12)
2 4
1
2 1 2 1 2 1 2 1
x x
x x x x
13) 2 1 2 2
2 2
x
x x x x
14) 22 4
2 6 2 2 2 3
rút gọn biểu thức chứa căn thức bậc hai
√x/√x-1 - 6/√x-1 - 2√3/√x-1 (x>=0,xkhasc1 )
3-√x/√x-2 - 1-√x/√x-2 - -5√x/√x -2
2-6√x/√x-4 - 1-√x/√x-4 - 3-√x/√x-4
1) √(2x-1) <= 8-2x
2) √[(x+1)(4-x)] > x-2
3) √(x-2x^2+1) > 1-x
4) √(x+5) - √(x+4) > √(x+3)
5) √(5x-1) - √(x-1) > √(2x-4)
6) √(x+3) >= √(2x-8) + √(7-x)
7) √(x+2) - √(3-x) < √(5-2x)
8) √(x+1) > 3 - √(x+4)
9) √(5x-1) - √(4x-1)<= 3√x
10) { {√[2(x^2-16)]} / √(x-3) }+ √(x-3) > (7-x) / √(x-3)
Giúp mình 10 câu này với ạaa
giải pt
a 2(x+3)(x-4)=(2x-1)(x+2)-27
b (3x+2)(x-1)-3(x+1)(x-2)=4
c (x+2)(x^2 -2x+4)-x(x-3)(x+3)=26
d (3x+2)(3x-2)-(3x-4)^2=28
e 5(x+3)^2-5(x-4)(x+8)=3x
f 2x(x+2)^2-8x^2=2(x-2)(x^2+2x+4)
g (2x-1)(4x^2+2x+1)-4x(2x^2-3)=23
h x(x-2)(x+2)-(x-3)(x^2+3x+9)+1=0
i x(x^2+x+1)-(x-1)(x+1)x=x^2+2
Giải các ptr sau
a, 10x2 + 17x + 3 = 2( 2x - 1 ) - 15
b, x2 + 7x - 3 = x( x - 1 ) - 1
c, 2x2 - 5x - 3 = (x + 1)(x - 1) + 3
d, 5x2 - x - 3 = 2x( x - 1) - 1 + x2
e, -6x2 + x - 3 = -3x( x - 1) -11
f, -4x2 + x ( x - 1) - 3 = x( x + 3 ) + 5
g, x2 - x - 3( 2x + 3 ) = -x( x - 2) - 1
h, -x2 - 4x - 3( 2x - 7 ) = -2x( x + 2 ) - 7
i, 8x2 - x - 3x( 2x - 3 ) = -x( x - 2 )
k, 3( 2x + 3 ) = -x( x - 2 ) -1
4) |3 - 2x| = x + 2
5) |2x - 1| = 5 - x
6) |- 3x| = x - 2
7) |2 - 3x| = 2x + 1
8) |2x - 1| + |4x ^ 2 - 1| = 0
9) (2x + 5)/(x + 3) + 1 = 4/(x ^ 2 + 2x - 3) - (3x - 1)/(1 - x)
10) (x - 1)/(x + 3) - x/(x - 3) = (7x - 3)/(9 - x ^ 2)
11) 5 + 96/(x ^ 2 - 16) = (2x - 1)/(x + 4) + (3x - 1)/(x - 4)
12) (2x)/(2x - 1) + x/(2x + 1) = 1 + 4/((2x - 1)(2x + 1))
13) (x + 2)/(x - 2) - 1/x = 2/(x ^ 2 - 2x)
14) x/(2x - 6) + x/(2x + 2) = (2x + 4)/(x ^ 2 - 2x - 3)
1) |2x - 1| = 5
2) |2x - 1| = |x + 5|
3) |3x + 1| = x - 2
4) |3 - 2x| = x + 2
5) |2x - 1| = 5 - x
6) |- 3x| = x - 2
7) |2 - 3x| = 2x + 1
8) |2x - 1| + |4x ^ 2 - 1| = 0
9) (2x + 5)/(x + 3) + 1 = 4/(x ^ 2 + 2x - 3) - (3x - 1)/(1 - x)
10) (x - 1)/(x + 3) - x/(x - 3) = (7x - 3)/(9 - x ^ 2)
11) 5 + 96/(x ^ 2 - 16) = (2x - 1)/(x + 4) + (3x - 1)/(x - 4)
12) (2x)/(2x - 1) + x/(2x + 1) = 1 + 4/((2x - 1)(2x + 1))
13) (x + 2)/(x - 2) - 1/x = 2/(x ^ 2 - 2x)
14) x/(2x - 6) + x/(2x + 2) = (2x + 4)/(x ^ 2 - 2x - 3)
Rút gọn biểu thức
1) x + 3 + \(\sqrt{x^2-6x+9}\) (x \(\le\) 3)
2) \(\sqrt{x^2+4x+4}-\sqrt{x^2}\) (-2 \(\le\) x \(\le\) 0)
3) \(\sqrt{x^{2^{ }}+2\sqrt{x^2-1}}-\sqrt{x^2-2\sqrt{x^2-1}}\)
4) \(\dfrac{\sqrt{x^2-2x+1}}{x-1}\) (x > 1)
5) |x - 2| + \(\dfrac{\sqrt{x^2-4x+4}}{x-2}\) (x < 2)
6) 2x - 1 - \(\dfrac{\sqrt{x^2-10x+25}}{x-5}\)
Giaỉ các phương trình sau ;
a) 2/x^3-x^2-x+1 = 3/1-x^2 - 1/x+1
b)x+2/x-2 - 2/x^2-2x = 1/x