Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a) \(\left(x-3\right)^2\) = \(\left(-3\right)^2\) + \(\left(-4\right)^2\)
\(\left(x-3\right)^2=9+16\)
\(\left(x-3\right)^2=25\)
\(\left(x-3\right)^2=5^2\)
\(\Rightarrow x-3=5\)
\(\Rightarrow x=5+3=8\)
Vậy x = 8
b) -12 . (x - 5) +7 . (3 - x) = 5
-12x + 60 + 21 - 7x = 5
-12x - 7x = 5 - 60 - 21
-19x = -76
x = -76 : (-19) =4
Vậy x = 4
Áp dụng công thức: Nhân 2 lũy thừa cùng cơ số.
Ta có:
\(x\times x^2\times x^3\times...\times x^{100}\)
\(=x^{1+2+3+...+100}\)
\(x=5050\)
\(x.x^2.x^3...x^{100}=x^{1+2+3+...+100}\)
Đặt \(3^{1+2+3+...+100}=3^A\)
Ta có:
\(A=1+2+3+...+100\)
\(\Rightarrow A=100+99+98+...+1\)
\(\Rightarrow A=\left(1+100\right)+\left(2+99\right)+\left(3+98\right)+...+\left(100+1\right)\) ( 50 cặp số )
\(\Rightarrow A=101+101+101+...+101\) ( 50 số 101 )
\(\Rightarrow A=101.50\)
\(\Rightarrow A=5050\)
\(\Rightarrow3^A=3^{5050}\)
Vậy \(x.x^2.x^3...x^{100}=x^{5050}\)
Dấu chấm thay cho dấu nhân nhé!
a) -12.(x-5)+7.(3.x)=5
<=> -12x+60+21+7x=5
<=>-5x+81=5
<=>-5x=5-81=-76
<=>x=-76/-5=76/5=15,2
b) 30.(x+2)-6.(x-5)-24.x=100
<=> 30x+60-6x+30-24x=100
<=> 0x=100-60-30=10
=> không có giá trị nào của x để 0x=10
c) \(|5.x-2|< 13\)
Khi 5x-2 < 13
<=> 5x<15 <=> x<3
Khi 5x-2 <-13
<=> 5x<-11 <=> x<-11/5 <=> x<-2,2
a: =>2x-2/3-3x+3/2=1/2x
=>-3/2x=-5/6
=>x=5/6:3/2=5/6x2/3=10/18=5/9
b: =>-3x+3/4-1/3x-1/6=x
=>-13/3x=-7/12
=>x=7/12:13/3=7/12x3/13=21/156=7/52
a) \(-2\left(x-\dfrac{1}{3}\right)-5\left(x+\dfrac{1}{3}\right)=\dfrac{1}{2}x\)
\(\Leftrightarrow-2x+\dfrac{2}{3}-5x-\dfrac{5}{3}=\dfrac{1}{2}x\)
\(\Leftrightarrow-7x-1=\dfrac{1}{2}x\)
\(\Leftrightarrow-7x-\dfrac{1}{2}x=1\)
\(\Leftrightarrow-\dfrac{15}{2}x=1\)
\(\Leftrightarrow x=1:\left(-\dfrac{15}{2}\right)=-\dfrac{2}{15}\)
b) \(-\left(\dfrac{1}{2}x-\dfrac{3}{4}\right)-\left(-x+1\right)=\dfrac{3}{2}\)
\(\Leftrightarrow-\dfrac{1}{2}x+\dfrac{3}{4}+x-1=\dfrac{3}{2}\)
\(\Leftrightarrow\dfrac{1}{2}x-\dfrac{1}{4}=\dfrac{3}{2}\)
\(\Leftrightarrow\dfrac{1}{2}x=\dfrac{3}{2}+\dfrac{1}{4}=\dfrac{7}{4}\)
\(\Leftrightarrow x=\dfrac{7}{4}:\dfrac{1}{2}\)
\(\Leftrightarrow x=\dfrac{7}{2}\)
= x ^1 +100 = x^101
\(x\times x^2\times x^3\times x^4\times...\times x^{100}=x^{1+2+3+4+...+100}=x^{101\times500}=x^{5050}\)