Tìm x: (x+1)+(x+2)+(x+3)+(x+4)=45
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x *6+ ( 1 + 2 + 3 + 4 + 5 ) = 45
x*6=45-15=30
x=30:6=5
ủng hộ nha các bạn
x+1 + x+2 + x+3 + x +4 + x+5 = 45
x + x + x + x + x = 45 -1 -2 -3 -4 -5
5x = 30
x =6
b: ĐKXĐ: x∉{-3;1;-1}
Ta có: \(\frac{1}{x^2+2x-3}=\frac{1}{\left(x+1\right)^2}+\frac{1}{48}\)
=>\(\frac{1}{\left(x+3\right)\left(x-1\right)}-\frac{1}{\left(x+1\right)^2}=\frac{1}{48}\)
=>\(\frac{\left(x+1\right)^2-\left(x+3\right)\left(x-1\right)}{\left(x+1\right)^2\cdot\left(x-1\right)\left(x+3\right)}=\frac{1}{48}\)
=>\(\frac{x^2+2x+1-\left(x^2+2x-3\right)}{\left(x+1\right)^2\cdot\left(x-1\right)\left(x+3\right)}=\frac{1}{48}\)
=>\(\frac{4}{\left(x+1\right)^2\cdot\left(x-1\right)\left(x+3\right)}=\frac{1}{48}\)
=>\(\left(x+1\right)^2\cdot\left(x^2+2x-3\right)=192\)
=>\(\left(x^2+2x+1\right)\left(x^2+2x-3\right)=192\)
=>\(\left(x^2+2x\right)^2-2\left(x^2+2x\right)-195=0\)
=>\(\left(x^2+2x-15\right)\left(x^2+2x+13\right)=0\)
mà \(x^2+2x+13=\left(x+1\right)^2+12\ge12>0\forall x\)
nên \(x^2+2x-15=0\)
=>(x+5)(x-3)=0
=>\(\left[\begin{array}{l}x+5=0\\ x-3=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=-5\left(nhận\right)\\ x=3\left(nhận\right)\end{array}\right.\)
(x+1)+(x+2)+(x+3)+(x+4)+(x+5)=45
( x + x + x + x + x ) + ( 1 + 2 + 3 + 4 + 5 ) = 45
5x + 15 = 45
5x = 45 - 15
5x = 30
x = 30 : 5
x = 6
(x+1)+(x+2)+(x+3)+(x+4)+(x+5)=45
<=> (x+x+x+x+x)+(1+2+3+4+5)=45
<=> 5x+15=45
<=> 5x=30
<=> x=6
(x + 1) + (x + 2) + (x + 3) + (x + 4) + (x + 5) = 45
x + 1 + x + 2 + x + 3 + x + 4 + x + 5 = 45
(x + x + x + x + x) + (1 + 2 + 3 + 4 + 5) = 45
5x + 15 = 45
5x = 45 - 15
5x = 30
x = 6
\(5x+\left(1+2+3+4\right)=45\)
\(5x+10=45\)
\(5x=35\)
\(x=7\)
Vậy \(x=7\)
\(x+\left(x+1\right)+\left(x+2\right)+\left(x+3\right)+\left(x+4\right)=45\)
\(\Leftrightarrow5x+\left(1+2+3+4\right)=45\)
\(\Leftrightarrow5x+10=450\Rightarrow5x=440\Rightarrow x=88.\)