Tìm x biết
\(5^{x+1}+5^{x+2}=750\)
Tìm x biết { x +1 } + { x +3 } + { x + 5 } + .... + { x + 9 } = 750
x + 1 + x + 3 +x + 5 + x + 7 + x + 9 = 750
( x + x + x + x + x ) + ( 1 + 3 + 5 + + 7 + 9 ) = 750
x x 5 + 25 = 750
x x 5 = 750 - 25
x x 5 = 725
x = 725 :5
x = 145
x+1+x+3+x+5+...+x+9
= ( x+x+x+x)+ (1+3+5+9)
=x*5+25=750
x*5=750-25
x*5=725
x= 725:5
x=145
câu này giải làm sao
tìm x biết
5^x+5^x+1=750
\(5^X+5^{X+1}=750\\ 5^X\cdot\left(1+5\right)=750\\ 5^X\cdot6=750\\ 5^X=125\\X=3 \)
tìm x biết (x+1)+(x+3)+(x+5)+(x+7)+(x+9)=750
giúp mình với
Giải
( x + 1 ) + ( x + 3 ) + ( x + 5 ) + ( x + 7 ) + ( x + 9 ) = 750
x x ( 1 + 3 + 5 + 7 + 9 ) = 750
x x 25 = 750
x = 750 : 25
x = 30
Đúng nha
(x + 1) + (x + 3) + (x + 5) + (x + 7) + (x + 9) = 750
5x + (1 + 3 + 5 + 7 + 9) = 750
5x + 25 = 750
5x = 750 - 25
5x= 625
x = 625 : 5
x = 125
Vậy x = 125
Tìm X biết:
5 \(^x\) + 5\(^{x-1}\) = 750
\(5^x+5^{x-1}=750\)
\(\Rightarrow5^x+5^x.\frac{1}{5}=750\)
\(\Rightarrow5^x.\left(1+\frac{1}{5}\right)=750\)
\(\Rightarrow5^x.\frac{6}{5}=750\)
\(\Rightarrow5^x=750:\frac{6}{5}\)
\(\Rightarrow5^x=625\)
\(\Rightarrow5^x=5^4\)
\(\Rightarrow x=4\)
Vậy \(x=4\)
Ta có : 5x + 5x - 1 = 750
\(\Rightarrow\) 5x + 5x - 1 = 625 + 125
\(\Rightarrow\) 5x + 5x - 1 = 54 + 53
\(\Rightarrow\) x = 4
Vậy x = 4
\(5^x+5^{x-1}=750\)
\(\Rightarrow\)\(5^x+5^x.\dfrac{1}{5}=750\)
\(\Rightarrow\)\(5^x.\left(1+\dfrac{1}{5}\right)=750\)
\(\Rightarrow\)\(5^x.\dfrac{6}{5}=750\)
\(\Rightarrow\)\(5^x=750:\dfrac{6}{5}=625\)
\(\Rightarrow\)\(5^x=5^4\)
Vậy, x = 4
bài 1 : tìm x biết
a, ( x - 2 ) : 2 x 3 = 6
b, X : ( hỗn số 3 1/2 x hỗn số 2 2/3 ) = 9/56
c, 1 + 3 + 5 + .....+ ( 2 x X + 1 ) = 625
bài 2 : tìm x biết
a, ( x - 1/2 ) x 5/3 = 7/4 - 1/2
b, 5 x X + X = 42
c, ( x+1 ) + ( x+ 3 ) + ( x + 5 ) + ....+ ( x + 11 ) = 58
bài 3 tìm x biết
a, X - 1,25 x 4 = 7,5
b, X = ( hỗn số 6 3/5 : 6 - 0 , 125 x 8 + hỗn số 2 2/15 x 0,03 ) x 2/11
c, ( X + 1 ) +(X + 2 ) + ( X + 3 ) + ....+(X + 20 ) = 750
1
\(\left(x-2\right):2.3=6\)
\(\Leftrightarrow\left(x-2\right):2=2\)
\(\Leftrightarrow\left(x-2\right)=4\)
\(\Leftrightarrow x=4+2=6\)
c) ta có
\(\left[\left(2x+1\right)+1\right]m:2=625\)
\(\Leftrightarrow\left[\left(2x+1\right)+1\right]\left\{\left[\left(2x+1\right)-1\right]:2+1\right\}=1250\)
\(\Leftrightarrow\left(2x+1\right)^2+1-1:2+1=1250\)
\(\Leftrightarrow\left(2x+1\right)^2+1-2+1=1250\)
\(\Leftrightarrow\left(2x+1\right)^2+1-2=1249\)
\(\Leftrightarrow\left(2x+1\right)^2+1=1251\)
\(\Leftrightarrow\left(2x+1\right)^2=1250\)
...
2
\(\left(x-\frac{1}{2}\right).\frac{5}{3}=\frac{7}{4}-\frac{1}{2}\)
\(\Leftrightarrow\left(x-\frac{1}{2}\right).\frac{5}{3}=\frac{5}{4}\)
\(\Leftrightarrow\left(x-\frac{1}{2}\right)=\frac{5}{4}:\frac{5}{3}\)
\(\Leftrightarrow\left(x-\frac{1}{2}\right)=\frac{5}{4}.\frac{3}{5}\)
\(\Leftrightarrow x-\frac{1}{2}=\frac{3}{4}\)
\(\Leftrightarrow x=\frac{3}{4}+\frac{1}{2}=\frac{5}{4}\)
tìm x.
5 mũ x + 5 mũ x+1= 750
Có \(5^x+5^{x+1}=750\)
=> \(5^x\left(1+5\right)=750\)
=> \(5^x=\frac{750}{6}=125\)
=> \(x=3\)
Hok tốt nhen ^_^
BT1 : Tính nhanh nếu có thể :
a) -25 + 8 + 12 + 25
b) -87 + ( -750 ) + 2018 - 13 + 750
c) ( 45 + 12 - 13 ) - ( 45 - 13 + 12 )
d) -15 x 56 + 43 x ( -15 ) - 15
e) -62 x 32 - 65 x 47 - 21 x 65
g) 24 x ( 16 - 5) - 16 x ( 24 - 5 )
h) 5 - 10 + 15 - 20 + ............+ 2015 - 2020
BT3 : Tìm n thuộc Z biết :
a) 3n + 2 chia hết n - 1
b) n mũ 2 + 5 chia hết n+1
c) n + 1 chia hết n mũ 2 - 2
a 25 + 8 + 12 + 25 = 70 b 87 + [ - 750 ] + 2018 - 13 + 750 = 2842 c [ 45 + 12 - 13 ] - [ 45 - 13 + 12 ] = 90 minh tinh gom bn ah
Tìm x :
a) \(1+3+5+7+...+\left(2x-1\right)=750\)
b) \(1+5+9+13+17+...+x=501501\)
Lời giải:
a)
$1+3+5+...+(2x-1)=750$
$\frac{(2x-1+1)x}{2}=750$
$x^2=750$
$x=\sqrt{750}$ (vô lý?!!)
b)
$1+5+9+13+...+x=501501$
$\frac{1}{2}(\frac{x-1}{4}+1)(x+1)=501501$
$(x+1)(x+3)=4012008$$x(x+4)=4012005=2001.2005$
$\Rightarrow x=2001$
Tìm số tự nhiên x , y biết :
a , 5x+2+5x+3= 750
b , 32x+1.\(7^y\)= 9.2x
c , 243 = \(\frac{27^x}{3^{2x-y}}\)
\(5^{x+2}+5^{x+3}=750\)
\(5^x.5^2+5^x.5^3=750\)
\(5^x.25+5^x\cdot125=750\)
\(5^x.\left(25+125\right)=750\)
\(5^x.150=750\)
\(5^x=750:150\)
\(5^x=5\)
\(5^x=5^1\)
\(\Rightarrow x=1\)