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\(a,3\cdot x-15=x+35\)
\(\Rightarrow3x-x=35+15\)
\(\Rightarrow 2x=50\)
\(\Rightarrow x = 50:2\)
\(\Rightarrow x= 25\)
\(b,(8x-16)(x-5)=0\)
\(+, TH1: 8x-16=0\)
\(\Rightarrow8x=16\)
\(\Rightarrow x = 16:8\)
\(\Rightarrow x=2\)
\(+,TH2: x-5=0\)
\(\Rightarrow x =5\)
\(c,x(x+1)=2+4+6+8+10+...+2500\) \(^{\left(1\right)}\)
Đặt \(A=2+4+6+8+10+...+2500\)
Số các số hạng của \(A\) là: \(\left(2500-2\right):2+1=1250\left(số\right)\)
Tổng \(A\) bằng: \(\left(2500+2\right)\cdot1250:2=1563750\)
Thay \(A=1563750\) vào \(^{\left(1\right)}\), ta được:
\(x\left(x+1\right)=1563750\)
\(\Rightarrow x\left(x+1\right)=1250\cdot1251\)
\(\Rightarrow x =1250\)
#\(Toru\)
\(a,x+\dfrac{5}{7}=\dfrac{10}{-35}\\ x=\dfrac{-10}{35}-\dfrac{5}{7}\\ x=-1\\ b,\dfrac{2}{x}=\dfrac{x}{8}\\ x.x=2.8\\ x^2=16\\ x=\pm4\)
a, \(x\) + \(\dfrac{5}{7}\) = \(\dfrac{10}{-35}\)
\(x\) = \(-\dfrac{10}{35}\) - \(\dfrac{5}{7}\)
\(x\) = -1
b, \(\dfrac{2}{x}\) = \(\dfrac{x}{8}\)
\(x^2\) = 16
\(\left[{}\begin{matrix}x=-4\\x=4\end{matrix}\right.\)
Vậy \(x\) \(\in\){ -4; 4}
c, \(\dfrac{x-3}{2}\) = \(\dfrac{32}{x-3}\)
(\(x-3\))(\(x-3\)) = 32\(\times\) 2
(\(x-3\))(\(x\) - 3) = 64
(\(x-3\))2 = 82
\(\left[{}\begin{matrix}x-3=-8\\x-3=8\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=-8+3\\x=8+3\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=-5\\x=11\end{matrix}\right.\)
Vậy \(x\) \(\in\) { -5; 11}
1) tính nhanh
Ta thấy các số cách nhau 2 đơn vị lên
Số số hạng là \(\left(51-3\right)\div2+1=25\) ( số hạng )
Tổng dãy số trên là \(\left(51+3\right)\times25\div2=675\)
2) Tìm x
a) \(135+x\times2=151\)
\(x\times2=151-135=16\)
\(x=16\div8\)
b) \(x\times5-227=273\)
\(x\times5=273+227=500\)
\(x=500\div5\)
\(x=100\)
c) \(\left(x-4\right)\times3+2=101\)
\(\left(x-4\right)\times3=101-2=99\)
\(x-4=99\div3=33\)
\(x=33+4\)
\(x=37\)
d) \(170-\left(4+5\times x\right)=101\)
\(4+5\times x=170-101=69\)
\(5\times x=69-4\)
\(5\times x=65\)
\(x=65\div5\)
\(x=13\)
a: 2x(x+1)-135=-200
=>2(x^2+x)=-65
=>2x^2+2x+65=0
=>x^2+x+32,5=0
=>x^2+x+0,25+32,25=0
=>(x+0,5)^2+32,25=0(vô lý)
b: 4x-5(x-1)+15=13
=>4x-5x+5=-2
=>5-x=-2
=>x=5+2=7
c: 2/3x-1/4=3/5-7/8
=>2/3x=3/5-7/8+1/4=24/40-35/40+10/40=-1/40
=>x=-1/40:2/3=-1/40*3/2=-3/80
d: 1/2(2x-3)+105/2=-137/2
=>1/2(2x-3)=-137/2-105/2=-242/2=-121
=>2x-3=-242
=>2x=-239
=>x=-239/2
Lời giải:
1. $(x+2)-2=0$
$x+2=2$
$x=0$
2.
$(x+3)+1=7$
$x+3=7-1=6$
$x=6-3=3$
3.
$(3x-4)+4=12$
$3x-4+4=12$
$3x=12$
$x=12:3=4$
4.
$(5x+4)-1=13$
$5x+4=13+1=14$
$5x=14-4=10$
$x=10:5=2$
5.
$(4x-8)-3=5$
$4x-8=5+3=8$
$4x=8+8=16$
$x=16:4=4$
6.
$3+(x-5)=7$
$x-5=7-3=4$
$x=4+5=9$
7.
$8-(2x-4)=2$
$2x-4=8-2=6$
$2x=6+4=10$
$x=10:2=5$
8.
$7+(5x+2)=14$
$5x+2=14-7=7$
$5x=7-2=5$
$x=5:5=1$
9.
$5-(3x-11)=1$
$3x-11=5-1=4$
$3x=11+4=15$
$x=15:3=5$
10.
$16-(8x+2)=6$
$8x+2=16-6=10$
$8x=10-2=8$
$x=8:8=1$
\(135-5\cdot\left(x+4\right)=35\)
\(5\cdot\left(x+4\right)=135-35\)
\(5\cdot\left(x+4\right)=100\)
\(x+4=100:5\)
\(x+4=20\)
\(x=20-4\)
\(x=16\)
b) \(25+3\cdot\left(x-8\right)=106\)
\(3\cdot\left(x-8\right)=106-25\)
\(3\cdot\left(x-8\right)=81\)
\(x-8=81:3\)
\(x-8=27\)
\(x=27+8\)
\(x=35\)
c) \(3^2\cdot\left(x+4\right)-5^2=5\cdot2^2\)
\(9\cdot\left(x+4\right)-25=5\cdot4\)
\(9\cdot\left(x+4\right)-25=20\)
\(9\cdot\left(x+4\right)=20+25\)
\(9\cdot\left(x+4\right)=45\)
\(x+4=45:9\)
\(x+4=5\)
\(x=5-4\)
\(x=1\)
Chúc bạn học tốt!!!!!!!!!!!!!!!!!!!!
Câu 2
a)
\(135-5\left(x-29\right)=60\)
\(\Leftrightarrow135-5x+145=60\)
\(\Leftrightarrow5x=210\)
\(\Leftrightarrow x=42\)
Vậy x = 42
b)
\(12x-33=3^2.3^3\)
\(\Leftrightarrow12x=3^5+33\)
\(\Leftrightarrow12x=276\)
\(\Leftrightarrow x=23\)
Vậy x = 23
d)
\(5.2^x-17=23\)
\(\Leftrightarrow5.2^x=40\)
\(\Leftrightarrow2^x=8\)
\(\Leftrightarrow x=3\)
Vậy x = 3
Bài 1:
\(5^4.5=5^5\)
Từ đó ta chọn phương án C.\(5^5\)
Bài 2:
a, 135 - 5( x - 29 ) = 60
\(\Rightarrow\) 5( x - 29 ) = 75
\(\Rightarrow\) x - 29 = 15
\(\Rightarrow\) x = 44
Vậy x = 44
b) 12 . x - 33 = \(3^2.3^3\)
\(\Rightarrow\) 12 . x - 33 = 243
\(\Rightarrow\) 12 . x = 276
\(\Rightarrow\) x = 23
Vậy x = 23
c) \(5.2^x-17=23\)
\(\Rightarrow5.2^x=40\)
\(\Rightarrow2^x=8\)
\(\Rightarrow2^x=2^3\)
\(\Rightarrow x=3\)
Vậy \(x=3\)
a) 16 nha bn!!
b) 1 nha bn !!
k mik nha
a) 135 - 5 × ( x + 4 ) = 35
=>5x(X+4)=135-35
=>5x(x+4)=100
=>x+4=100:5
=>x+4=20
=>x=20-4
=>x=16
b) 3² × ( x + 4 ) - 5² = 5 × 2²
=>9x(x+4)-25=5x4
=>9x(x+4)-25=20
=>9x(x+4)=20+25
=>9x(x+4)=45
=>x+4=45:9
=>x+4=5
=>x=5-4
=>1