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)
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)
\(\sqrt{5-3x}+\sqrt{x+1}=\sqrt{3x^2-4x+4}\)
\(\Leftrightarrow5-3x+x+1+2\sqrt{\left(5-3x\right)\left(x+1\right)}=3x^2-4x+4\)
\(\Leftrightarrow2\sqrt{-3x^2+2x+5}=3x^2-2x-2\)
\(\Leftrightarrow2\sqrt{-\left(3x^2-2x-5\right)}=3x^2-2x-5+3\)
Đặt \(3x^2-2x-5=t\left(t\le0\right)\)
\(\Rightarrow t=-1\)
\(\Leftrightarrow3x^2-2x-5=-1\)
\(\Leftrightarrow3x^2-2x-4=0\)
\(\Leftrightarrow x=\frac{1+\sqrt{13}}{3}\)
Kiểm duyệt giùm
a, 4x-√3(3x-1)=3x-1
b, 3√2(x+1)=1-4x
c, 6x-3√4(2x-1)=2x+1
cho \(\sqrt{2020-3x+2x^2}-\sqrt{4-3x+2x^2}=1\)
tính \(\sqrt{2020-3x+2x^2}+\sqrt{4-3x+2x^2}\)
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 pt
1, 9x^2-1 =(3x+1)(4x+1)
2, 2x^3+3x^2-32x=48
3, (2x+5)^2-(x+2)^2=0
4, 2x^3+6x^2=x^2+3x
a /3x+1/=5
b 2/2x-3/=2/5
c /2-3x/=/5-2x/
a. 3x⁴ - x² - 234 = 0 b. x/1-x = 2x+3/(x-1)(x+2) c. x²(x+1)-3x=3x²-2x-2 d. (x+4)(x+5)(x+7)(x+8)=4
x^2-2x+3=căn(2x^2-x)+căn(1+3x-3x^2)