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\(\left(-2023\right).2024-2023.\left(10-2024\right)\\ =-2023.2024-2023.10+2023.2024\\ =\left(2023.2024-2023.2024\right)-2023.10\\ =0-2023.10=-20230\\ ---\\ 198.246-246.\left(198-19\right)\\ =198.246-246.198+246.19\\ =0-246.19=-4674\\ ---\\ 297.\left(435-24\right)-435.\left(297-24\right)\\ =297.435-297.24-435.297+435.24\\ =\left(297.435-435.297\right)+\left(435.24-297.24\right)\\ =0+\left(435-297\right).24\\ =0+138.24=3312\\ ----\\ \left(-367\right).\left(19-198\right)+198.\left(19-367\right)\\ =-367.19+367.198+198.19-367.198\\ =\left(367.198-367.198\right)+\left(198.19-367.19\right)\\ =0+19.\left(198-367\right)=0+19.\left(-169\right)=-3211\)
10+x/17+x=3/4
<=>x/17+x=10+3/4
<=>x(1/17+1)=43/4
<=>x*18/17=43/4
=>x=43/4:18/17=....
Còn lại bạn tính nhé
\(a,TH1:x-2021=0=>x=2021\)
\(Th2:x-2022=0=>x=2022\)
Vậy \(x\in\left\{2021;2022\right\}\)
\(b,x\left(8-5\right)=1080\)
\(x.3=1080\)
\(x=360\)
\(c,x^3=216< =>6^3=216=>x=3\)
\(d,5^5=3125\)
a) ( x- 2021) * ( x- 2022) = 0
=> \(\orbr{\begin{cases}x-2021=0\\x-2022=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=2021\\x=2022\end{cases}}}\)
b) b. 8x - 5x = 2022
=> 3x = 2022
=> x = 674
c) \(5\cdot x^3=1080\)
=> \(x^3=216\)
=> \(x^3=6^3\)
=> x = 6
d) \(5^x=3125\)
=> \(5^x=5^5\)
=> x = 5
a) -12.(x - 5) + 7(3 - x) = 5
=> -12x + 60 + 21 - 7x = 5
=> -19x + 81 = 5
=> -19x = 5 - 81
=> -19x = -76
=> x = -76 : (-19)
=> x = 4
b) (x + 1) + (x + 2) + (x + 3) + ... + (x + 20) = 250
=> (x + x + x + ... + x) + (1 + 2 + 3 + ... + 20) = 250
=> 20x + 210 = 250
=> 20x = 250 - 210
=> 20x = 40
= > x = 40 : 20
=> x = 2
\(-12\left(x-5\right)+7\left(3-x\right)=5\)
\(\Leftrightarrow-12x+60+21-7x=5\)
\(\Leftrightarrow-19x+81=5\)
\(\Leftrightarrow81-5=19x\)
\(\Leftrightarrow19x=76\)
\(\Leftrightarrow x=4\)
a)
\(\frac{x-3}{10}=\frac{4}{x-3}\)
=> ( x - 3 )2 = 4 . 10.
( x - 3 )2 = 40
Mà x - 3 thuộc Z ( vì x thuộc Z ) nên ( x - 3 )2 là số chính phương.
Do 40 không là số chính phương.
=> Ko tìm được x thuộc Z thỏa mãn đề bài.
b)
\(\frac{x+5}{9}=\frac{4}{x+5}\)
=> ( x + 5 )2 = 4 . 9
( x + 5 )2 = 36
=> x + 5 = 6 hoặc x + 5 = -6.
+) x + 5 = 6
x = 1.
+) x + 5 = -6
x = -11.
Vậy x = 1; x = -11.
a) Ta có: \(\frac{3+x}{5+y}=\frac{3}{5}\)
=> (3 + x).5 = 3(5 + y)
=> 15 + 5x = 15 + 3y
=> 5x = 3y
=> x = 3/5y
Mà x + y = 16
hay 3/5y + y = 16
=> (3/5 + 1).y = 16
=> 8/5.y = 16
=> y = 16 : 8/5
=> y = 10
=> x = 16 - 10 = 6
Vậy x = 6; y = 10
b) Ta có: \(\frac{x-7}{y-6}=\frac{7}{6}\)
=> (x - 7).6 = 7.(y - 6)
=> 6x - 42 = 7y - 42
=> 6x = 7y
=> x = 7/6y
Mà x - y = -4
hay 7/6y - y = -4
=> 1/6y = -4
=> y = -4 : 1/6
=> y = -24
=> x = -4 - 24 = -28
Vậy x = -28; y = -24
h: \(\left(-145\right)-5\left(2x-1\right)^3=480\)
=>\(5\left(2x-1\right)^3=-145-480\)=-625
=>(2x-1)3=-125
=>2x-1=-5
=>2x=-5+1=-4
=>x=-4/2=-2
k: \(3\left(-4+x\right)^3-\left(-4\right)^2=-97\)
=>\(3\left(x-4\right)^3-16=-97\)
=>\(3\cdot\left(x-4\right)^3=-97+16=-81\)
=>\(\left(x-4\right)^3=-27\)
=>x-4=-3
=>x=-3+4=1
n: \(195+3\left(-2x+5\right)^3=192\)
=>\(3\left(-2x+5\right)^3=192-195=-3\)
=>\(\left(-2x+5\right)^3=-1\)
=>-2x+5=-1
=>-2x=-1-5=-6
=>\(x=\dfrac{-6}{-2}=3\)
o: \(\left(-148\right)-5\left(-x+6\right)^4=-228\)
=>\(148+5\left(x-6\right)^4=228\)
=>\(5\left(x-6\right)^4=80\)
=>\(\left(x-6\right)^4=16\)
=>\(\left[{}\begin{matrix}x-6=2\\x-6=-2\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=8\\x=4\end{matrix}\right.\)
p: \(-43-\left(-4+x\right)^4=-44\)
=>\(\left(x-4\right)^4+43=44\)
=>\(\left(x-4\right)^4=1\)
=>\(\left[{}\begin{matrix}x-4=1\\x-4=-1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=5\\x=3\end{matrix}\right.\)
q: \(3\left(-x+5\right)^2-\left(-5\right)^2\cdot\left(-2\right)^3=203\)
=>\(3\left(x-5\right)^2-25\cdot\left(-8\right)=203\)
=>\(3\left(x-5\right)^2+200=203\)
=>\(3\left(x-5\right)^2=3\)
=>(x-5)2=1
=>\(\left[{}\begin{matrix}x-5=1\\x-5=-1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=6\\x=4\end{matrix}\right.\)
h.
$(-145)-5(2x-1)^3=480$
$5(2x-1)^3=-145-480=-625$
$(2x-1)^3=-625:5=-125=(-5)^3$
$\Rightarrow 2x-1=-5$
$\Rightarrow x=-3$
k.
$3(-4+x)^3-(-4)^2=-97$
$3(-4+x)^3-16=-97$
$3(-4+x)^3=-97+16=-81$
$(-4+x)^3=-81:3=-27=(-3)^3$
$\Rightarrow -4+x=-3$
$\Rightarrow x=-3-(-4)=1$