a (2+x):5=6
b 2+x:5=6
c 2x-3=11
d 3.(x-18)+75=0
1.Tổng kết năm hok 3 lớp 6A,6B,6C có 36 học sinh đạt giỏi .soos hs giỏi lớp 6A bằng 1/3 số hs giỏi của cả 3 lớp . Số hs giỏi của lớp 6A cx bằng 75% số hs giỏi lớp 6B . Tính số hs giỏi của mỗi lớp.
2. (x-4/5)(x+2 và 1/5)=0
|x-1/2|=3/2 x/7=x+16/35 25%x+2x=4,5
a)2x-3/4-4x-5/3=5-x/6
b)3(x-1^2)=16
c)(x+7)(x-4)=2(x-4)
d)4x^2-3x-1=0
`a)[2x-3]/4-[4x-5]/3=[5-x]/6`
`<=>3(2x-3)-4(4x-5)=2(5-x)`
`<=>6x-9-16x+20=10-2x`
`<=>8x=1`
`<=>x=1/8`
(`b->c` mk đã làm r).
Bài 3:
a) \(\dfrac{2x-1}{5}\)-\(\dfrac{x-2}{3}\)
=\(\dfrac{x+7}{15}\)
b) \(\dfrac{x+3}{2}\)-\(\dfrac{x-1}{3}\)
=\(\dfrac{x+5}{6}\)+1
c) \(\dfrac{2\left(x+5\right)}{3}\)+\(\dfrac{x+12}{2}\)
-\(\dfrac{5\left(x-2\right)}{6}\)=\(\dfrac{x}{3}\)+11
d) \(\dfrac{x-4}{5}\)+\(\dfrac{3x-2}{10}\)-x
=\(\dfrac{2x-5}{3}\)-\(\dfrac{7x+2}{6}\)
e) \(\dfrac{\left(2x-3\right)\left(2x+3\right)}{8}\)
=\(\dfrac{\left(x-4^{ }\right)^2}{6}\)+\(\dfrac{\left(x-2\right)^2}{3}\)
d) \(\dfrac{7x^2-14x-5}{15}\)
=\(\dfrac{\left(2x+1\right)^2}{5}\)-\(\dfrac{\left(x-1\right)^2}{3}\)
e) \(\dfrac{\left(7x+1\right)\left(x-2\right)}{10}\)+\(\dfrac{2}{5}\)
=\(\dfrac{\left(x-2\right)^2}{5}\)+\(\dfrac{\left(x-1\right)\left(x-3\right)}{2}\)
a) Ta có: \(\dfrac{2x-1}{5}-\dfrac{x-2}{3}=\dfrac{x+7}{15}\)
\(\Leftrightarrow\dfrac{3\left(2x-1\right)}{15}-\dfrac{5\left(x-2\right)}{15}=\dfrac{x+7}{15}\)
\(\Leftrightarrow6x-3-5x+10-x-7=0\)
\(\Leftrightarrow0x=0\)(luôn đúng)
Vậy: S={x|\(x\in R\)}
Giải phương trình sau:
a) 2x(x+3)-(x-1)(x+2)=x2+6
b) x(x-5)+(x-5)(x+3)=0
a: \(\Leftrightarrow2x^2+6x-x^2-2x+x+2-x^2-6=0\)
=>5x-4=0
hay x=4/5
b: \(\Leftrightarrow\left(x-5\right)\left(x+x+3\right)=0\)
=>(x-5)(2x+3)=0
=>x=5 hoặc x=-3/2
a) \(2x\left(x+3\right)-\left(x-1\right)\left(x+2\right)=x^2+6\)
\(2x^2+6x-\left(x^2+2x-x-2\right)=x^2+6\)
\(x^2+5x+2=x^2+6\)
\(x^2+5x+2-x^2-6=0\)
\(5x-4=0\)
\(x=\dfrac{4}{5}\)
b) \(x\left(x-5\right)+\left(x-5\right)\left(x+3\right)=0\)
\(\left(x-5\right)\left(x+x+3\right)=0\)
\(\left(x-5\right)\left(2x+3\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=5\\x=-\dfrac{3}{2}\end{matrix}\right.\)
tìm x biết
a) 8x-75=5x+21
b) 9x+25=-(2x-58)
c) (5-x).(x+2)=0
d) 3./x+3/ -4=-7-(-18)
\(a,8x-75=5x+21\)
\(8x-5x=21+75\)
\(3x=96\)
\(x=32\)
\(b,9x+25=-\left(2x-58\right)\)
\(9x+25=-2x+58\)
\(9x+2x=58-25\)
\(11x=33\)
\(x=3\)
\(c,\left(5-x\right).\left(x+2\right)=0\)
\(\Rightarrow\orbr{\begin{cases}5-x=0\\x+2=0\end{cases}\Rightarrow\orbr{\begin{cases}x=5\\x=-2\end{cases}}}\)
a) \(8x-75=5x+21\)
\(8x-5x=21+75\)
\(3x=96\)
\(x=32\)
vậy \(x=32\)
b) \(9x+25=-\left(2x-58\right)\)
\(9x+25=-2x+58\)
\(9x+2x=58-25\)
\(11x=33\)
\(x=3\)
vậy \(x=3\)
c) \(\left(5-x\right)\left(x+2\right)=0\)
\(\Rightarrow\orbr{\begin{cases}5-x=0\\x+2=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=5\\x=-2\end{cases}}\)
vậy....
d) \(3.\left|x+3\right|-4=-7-\left(-18\right)\)
\(3.\left|x+3\right|-4=-7+18\)
\(3.\left|x+3\right|=11+4\)
\(3.\left|x+3\right|=15\)
\(\left|x+3\right|=5\)
\(\Rightarrow\orbr{\begin{cases}x+3=5\\x+3=-5\end{cases}}\Rightarrow\orbr{\begin{cases}x=2\\x=-8\end{cases}}\)
vậy..
tìm x
a) (x+2)(x+3)-(x-2)(x+5)=6
b) (3x+2)(2x+9)-(x+2)(6x+1)=(x+1)-(x-6)
c) 3(2x-1)(3x-1)-(2x-3)(9x-1)=0
a: Ta có: \(\left(x+2\right)\left(x+3\right)-\left(x-2\right)\left(x+5\right)=6\)
\(\Leftrightarrow x^2+5x+6-x^2-3x+10=6\)
\(\Leftrightarrow2x=-10\)
hay x=-5
b: Ta có: \(\left(3x+2\right)\left(2x+9\right)-\left(x+2\right)\left(6x+1\right)=\left(x+1\right)-\left(x-6\right)\)
\(\Leftrightarrow6x^2+27x+4x+18-6x^2-x-12x-2=x+1-x+6\)
\(\Leftrightarrow18x+16=7\)
hay \(x=-\dfrac{1}{2}\)
c: Ta có: \(3\left(2x-1\right)\left(3x-1\right)-\left(2x-3\right)\left(9x-1\right)=0\)
\(\Leftrightarrow3\left(6x^2-2x-3x+1\right)-\left(18x^2-2x-27x+3\right)=0\)
\(\Leftrightarrow18x^2-15x+3-18x^2+27x-3=0\)
hay x=0
Tìm x, biết:
a) x(5 + 3x) – (x + 1)(3x – 2) = 6
b) (2x + ½ )² – (1 – 2x)² = 2
c) x(x + 3) – 2x – 6 = 0
\(a,\Rightarrow5x+3x^2-3x^2-x+2=6\\ \Rightarrow4x=4\Rightarrow x=1\\ b,\Rightarrow\left(2x+\dfrac{1}{2}-1+2x\right)\left(2x+\dfrac{1}{2}+1-2x\right)=2\\ \Rightarrow\dfrac{3}{2}\left(4x-\dfrac{1}{2}\right)=2\\ \Rightarrow6x-\dfrac{3}{4}=2\\ \Rightarrow6x=\dfrac{11}{4}\\ \Rightarrow x=\dfrac{11}{24}\\ c,\Rightarrow\left(x+3\right)\left(x-2\right)=0\\ \Rightarrow\left[{}\begin{matrix}x=2\\x=-3\end{matrix}\right.\)
Tìm x: a)(2x+1)(1-2x)+(1-2x)^2=18
b) 2(x+1)^2-(x-3)(x+3)-(x-4)^2=0
c) (x-5)^2-x(x-4)=9
d) (x-5)^2+(x-4)(1-x)=0
a) (2x + 1)(1 - 2x) + (1 - 2x)2 = 18
= ( 1 - 2x) \(\left[\left(2x+1+1-2x\right)\right]\) = 18
= 2(1 - 2x) - 18 = 0
= 2 - 4x - 18 = 0
= -16 - 4x = 0
= -4x = 16
= x = \(\dfrac{16}{-4}=-4\)
b) 2(x + 1)2 -(x - 3)(x + 3) - (x - 4)2 = 0
= 2 (x2 + 2x + 1) - (x2 - 9) - (x2 - 8x + 16) = 0
= 2x2 + 4x + 2 - x2 + 9 - x2 + 8x - 16 = 0
= 12x - 5 = 0
= 12x = 5
= x = \(\dfrac{5}{12}\)
c) (x - 5)2 - x(x - 4) = 9
= x2 - 10x + 25 - x2 + 4x - 9 = 0
= -6x + 16 = 0
= -6x = -16
= x = \(\dfrac{-16}{-6}=\dfrac{8}{3}\)
d) (x - 5)2 + (x - 4)(1 - x)
= x2 - 10x + 25 + 5x - x2 - 4 = 0
= -5x + 21 = 0
= -5x = -21
= x = \(\dfrac{-21}{-5}=\dfrac{21}{5}\)
Chúc bạn học tốt
Tìm số tự nhiên x,biết : a)3^2x + 3^x + 3^x = 759 b)5^x . 5^x+1 . 5^x+2 <100...0(18 số 0) :2^18
32x + 3x + 3 = 759
3x.3x + 3x + 3 = 759
3x.3x + 3x = 759 - 3
3x.3x + 3x = 756
3x(3x + 1) = 756
3x(3x + 1) = 27.28
=> 3x = 27
3x = 33
=> x = 3