a x 2 + a : 2 = 5 , tìm a và 2,25 - ( 5 x a - 125 : 5 ) = 0 . Gíup t vs . Mơn nhìuuu ặ :)
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\(\left(\dfrac{1}{2}+1\right)\times\left(\dfrac{1}{3}+1\right)\times\left(\dfrac{1}{4}+1\right)\times\left(\dfrac{1}{5}+1\right)\times\left(\dfrac{1}{6}+1\right)\)
\(=\dfrac{3}{2}\times\dfrac{4}{3}\times\dfrac{5}{4}\times\dfrac{6}{5}\times\dfrac{7}{6}\)
\(=\dfrac{3\times4\times5\times6\times7}{2\times3\times4\times5\times6}\)
\(=\dfrac{7}{2}\)
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a) 4x^2 -12x = (2x)^2 - 2.2x.3 + 3^2 - 3^2
= (2x-3)^2 - 3^2
= (2x - 3 -3)(2x-3 +3)
= 2x(2x - 6)
b) x^2 - y^2 -5x +5y = (x^2 - y^2) - (5x -5y)
= (x+y)(x-y) - 5(x-y)
= (x+y - 5)(x-y)
2. 3x(x - 5) -x +5 = 0
=>3x(x - 5) - (x -5) = 0
=> (3x - 1)(x-5) = 0
=>| 3x - 1 =0 => | 3x = 1 => |x = 1/3
| x - 5 =0 | x = 5 |x= 5
a) \(\left(x+5\right)\left(x-2\right)< 0\)
\(\Leftrightarrow\hept{\begin{cases}x+5>0\\x-2< 0\end{cases}}\) hoặc \(\hept{\begin{cases}x+5< 0\\x-2>0\end{cases}}\)
\(\Leftrightarrow\hept{\begin{cases}x>-5\\x< 2\end{cases}}\) hoặc \(\hept{\begin{cases}x< -5\\x>2\end{cases}}\) (loại)
Vậy -5 < x < 2
b) \(\left(x+2\right)\left(x-\frac{3}{5}\right)>0\)
\(\Leftrightarrow\hept{\begin{cases}x+2>0\\x-\frac{3}{5}>0\end{cases}}\) hoặc \(\hept{\begin{cases}x+2< 0\\x-\frac{3}{5}< 0\end{cases}}\)
\(\Leftrightarrow\hept{\begin{cases}x>-2\\x>\frac{3}{5}\end{cases}}\) hoặc \(\hept{\begin{cases}x< -2\\x< \frac{3}{5}\end{cases}}\)
Vậy x > 3/5 hoặc x < -2
a ) ( x + 5 )( x - 2 ) < 0
=> x + 5 duong va x - 2 am hoac x + 5 am va x - 2 duong
Neu x + 5 duong va x - 2 am thi
-5 < x < 2
=> x \(\in\left\{1;0;-1;-2;-3;-4\right\}\)
Neu x + 5 am va x - 2 duong thi :
x < -5 va x > 2
Vi 2 dieu kien tren mau thuan vs nhau nen x\(\varnothing\)trong truong hop nay
Bài 1:
a: A=-5,85+41,3-5=41,3-10,85=30,45
b: B=-87,5+87,5+3,8-0,8=3
c: C=9,5-13-5+8,5=18-18=0
Bài 3:
b) 5^400 = (5^4)^100 = 625^100
3^600 = (3^6)^100 = 729^100
Mà 625^100 < 729^100 => 5^400 < 3^600
Vậy...........
k mik nha!
\(\left(9^{30}-27^{19}\right):3^{57}+\left(125^9-25^{12}\right):5^{24}\)
\(=\left(3^{60}-3^{57}\right):3^{57}+\left(5^{27}-5^{24}\right):5^{24}\)
\(=3^{57}\left(3^3-1\right):3^{57}+5^{24}\left(5^3-1\right):5^{24}\)
\(=3^3-1+5^3-1\)
\(=27-1+125-1\)
\(=150\)
2 )
\(x^2-25-\left(x+5\right)=0\)
\(\Leftrightarrow\left(x+5\right)\left(x-5\right)-\left(x+5\right)=0\)
\(\Leftrightarrow\left(x+5\right)\left(x-5-1\right)=0\)
\(\Leftrightarrow\left(x+5\right)\left(x-6\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x+5=0\\x-6=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-5\\x=6\end{matrix}\right.\)
Vậy ...
b )
\(\left(2x-1\right)^2-\left(4x^2-1\right)=0\)
\(\Leftrightarrow4x^2-4x+1-4x^2+1=0\)
\(\Leftrightarrow2-4x=0\)
\(\Leftrightarrow4x=2\)
\(\Leftrightarrow x=\dfrac{1}{2}\)
Vậy ...
c )
\(x^2\left(x^2+4\right)-x^2-4=0\)
\(\Leftrightarrow x^2\left(x^2+4\right)-\left(4+x^2\right)=0\)
\(\Leftrightarrow\left(x^2-1\right)\left(x^2+4\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x^2-1=0\\x^2+4=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x^2=1\\x^2=-4\left(L\right)\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=1\\x=-1\end{matrix}\right.\)
Vậy ...
\(a\times2+a:2=5\)
\(a\times2+a\times\dfrac{1}{2}=5\)
\(a\times\left(2+\dfrac{1}{2}\right)=5\)
\(a\times\dfrac{5}{2}=5\)
\(a=5:\dfrac{5}{2}\)
\(a=2\)
Vậy \(a=2\)
\(2,25-\left(5\times a-125:5\right)=0\)
\(2,25-5\times a+25=0\)
\(27,25-5\times a=0\)
\(5\times a=27,25\)
\(a=27,25:5\)
\(a=5,45\)
Vậy a=5,45