Tìm x biết -2/3 - 1/3(2x-5)=3/2
Tìm x, biết
a) 5x(x-3)^3 - 5(x - 1)^3 + 15(x+2)*(x-2)=5
b)(x+3)^3 - x(3x+1)^2 + (2x + 1)*(4x^2-2x+1)-3x^2= 42
bài 1 :tìm x , biết :
(x-7)^ x+1(x-7)^x+11=0
bài 2 :tìm x , biết :
a,|2x-3| > 5 c,|3x-1| ≤ 7 d,|3x-5| + |2x+3| = 7
bài 3 :
a,tính tổng S = 1 + 5^2 + 5^4 + ....... + 5^200.
b,so sánh 2^30 + 3^30 + 4^30 và 3.24^10
Tìm x biết:
a; 3x.(2x+3)-(2x+5x).(3x-2)=8
b;4.(x-1)-3.(x^2-5)_x^2=(x-3)-(x+4)
c; 2.(3x-1).(2x+5)-6.(2x-1).(x+2)=-6
d; 3.(2x-1).(3x-1)-(2x-3.(9x-1)-3=3
Tìm x biết:
a) 2x(3x+1) – (2x+3)(3x-2) = 12
b) (x+2)2 – (x-3)(x+3) = 5
b: \(\Leftrightarrow4x+13=5\)
hay x=-2
a) 2x(3x+1) – (2x+3)(3x-2) = 12
\(\Leftrightarrow6x^2+2x-\left(6x^2-4x+9x-6\right)=12\)
\(\Leftrightarrow6x^2+2x-6x^2+4x-9x+6=12\)
\(\Leftrightarrow-3x+6=12\)
\(\Leftrightarrow-3x=6\)
\(\Leftrightarrow x=-2\)
vậy x = -2
b) (x+2)2 – (x-3)(x+3) = 5
\(\Leftrightarrow\left(x+2\right)^2-\left(x^2-9\right)=5\)
\(\Leftrightarrow x^2+4x+4-x^2+9-5=0\)
\(\Leftrightarrow4x+8=0\)
\(\Leftrightarrow4x=-8\)
\(\Leftrightarrow x=-2\)
Vậy x = -2
Tìm x biết:
1) 1/3x+2/5(x-1)=0
2) -2/3-1/3(2x-5)=3/2
3) (3x-1)[-1/2x+5]=0
Tìm x biết
a, 1/2( x+2 ) - 4( x-1/4 ) = 1/2x
b,5/2( x - 3/5 ) - 1/10 = x-3
c, 5/3( 3x - 3 ) + 1/2 = 1/2( 2x - 1 )
Cho biểu thức P = (\(\dfrac{2x}{2x^2-5x+3}-\dfrac{5}{2x-3}\)):(\(3+\dfrac{2}{1-x}\))
a)Rút gọn P
b) Tính P với |3x-2|+1=5
c)Tìm x biết P>0
d) Tìm x biết P=\(\dfrac{1}{6-x^2}\)
a) đk: x khác 1; \(\dfrac{3}{2}\)
\(P=\left[\dfrac{2x}{\left(2x-3\right)\left(x-1\right)}-\dfrac{5}{2x-3}\right]:\left(\dfrac{3-3x+2}{1-x}\right)\)
= \(\dfrac{2x-5\left(x-1\right)}{\left(2x-3\right)\left(x-1\right)}:\dfrac{5-3x}{1-x}\)
= \(\dfrac{-3x+5}{\left(2x-3\right)\left(x-1\right)}.\dfrac{1-x}{-3x+5}=\dfrac{-1}{2x-3}\)
b) Có \(\left|3x-2\right|+1=5\)
<=> \(\left|3x-2\right|=4\)
<=> \(\left[{}\begin{matrix}3x-2=4< =>x=2\left(Tm\right)\\3x-2=-4< =>x=\dfrac{-2}{3}\left(Tm\right)\end{matrix}\right.\)
TH1: Thay x = 2 vào P, ta có:
P = \(\dfrac{-1}{2.2-3}=-1\)
TH2: Thay x = \(\dfrac{-2}{3}\)vào P, ta có:
P = \(\dfrac{-1}{2.\dfrac{-2}{3}-3}=\dfrac{3}{13}\)
c) Để P > 0
<=> \(\dfrac{-1}{2x-3}>0\)
<=> 2x - 3 <0
<=> x < \(\dfrac{3}{2}\) ( x khác 1)
d) P = \(\dfrac{1}{6-x^2}\)
<=> \(\dfrac{-1}{2x-3}=\dfrac{1}{6-x^2}\)
<=> \(\dfrac{-1}{2x-3}=\dfrac{-1}{x^2-6}\)
<=> 2x - 3 = x2 - 6
<=> x2 - 2x - 3 = 0
<=> (x-3)(x+1) = 0
<=> \(\left[{}\begin{matrix}x=-1\left(Tm\right)\\x=3\left(Tm\right)\end{matrix}\right.\)
Bài 1: Tìm x biết : 2x.(x+3)+(2x+3).(5-x)=2 Bài 2 : Tính x³+y³ biết x-y=4 và xy=5
Bài 1:
$2x(x+3)+(2x+3)(5-x)=2$
$\Leftrightarrow 2x^2+6x+(10x-2x^2+15-3x)=2$
$\Leftrightarrow 2x^2+6x+7x-2x^2+15=2$
$\Leftrightarrow 13x+15=2$
$\Leftrightarrow 13x=2-15=-13$
$\Leftrightarrow x=-13:13=-1$
Bài 2:
$x-y=4\Rightarrow x=y+4$. Thay vào $xy=5$ thì:
$(y+4)y=5$
$\Leftrightarrow y^2+4y-5=0$
$\Leftrightarrow (y-1)(y+5)=0$
$\Leftrightarrow y=1$ hoặc $y=-5$
Nếu $y=1$ thì $x=y+4=5$. Khi đó $x^3+y^3=5^3+1^3=126$
Nếu $y=-5$ thì $x=y+4=-1$. Khi đó: $x^3+y^3=(-1)^3+(-5)^3=-126$
biết f(x)=x^2+2x+3/5 2x^3+3 ; g(x) = -2x^2-1/2x^3 -3x +6
tìm h(x) = 2f(x) - 1/2g(x)
Tìm x biết
2(x - 3) + 5 = 3x - 1
2x(3x + 2) - 5 = 3( 2x^2 - 2x + 1)
(3x - 2)(2x - 3) + 5 = 5
giải chi tiết giùm mình
2(x - 3) + 5 = 3x - 1
2x-6+5=3x-1
2x-1=3x-1
2x-3x=-1+1
-x=0
x=0
2x(3x + 2) - 5 = 3( 2x^2 - 2x + 1)
6x2+4x-5=6x2-6x+3
6x2+4x-6x2+6x=3+5
10x=8
x=4/5
(3x - 2)(2x - 3) + 5 = 5
(3x-2)(2x-3)=0
=>3x-2=0 hoặc 2x-3=0
=>x=2/3 hoặc x=3/2
2(x - 3) + 5 = 3x - 1
<=>2x-6+5=3x-1
<=>2x-3x=-1+6-5
<=>-x=0
<=>x=0
2x(3x + 2) - 5 = 3( 2x2 - 2x + 1)
<=>6x2+4x-5=6x2-6x+3
<=>4x+6x=3+5
<=>10x=8
<=>x=0,8
(3x - 2)(2x - 3) + 5 = 5
<=>(3x-2)(2x-3)=0
<=>3x-2=0 hoặc 2x-3=0
<=>x=2/3 hoặc x=3/2