3x+2/5x+7=3x-1/5x-3. Tìm x. Nhanh hộ mik nha.
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a: \(\Rightarrow10x^2+9x-\left(10x^2+15x-2x-3\right)=8\)
\(\Leftrightarrow10x^2+9x-10x^2-13x+3=8\)
=>-4x=5
hay x=-5/4
b: \(\Leftrightarrow21x-15x^2-35+25x+15x^2-10x+6x-4-2=0\)
=>42x=41
hay x=41/42
Ta có :\(\frac{\text{3x + 2}}{\text{5x + 7}}=\frac{\text{3x -1}}{\text{5x +1}}\)
=> ( 5x + 1 ) . ( 3x + 2 ) = ( 3x - 1 ) . ( 5x + 7 )
=> 5x(3x + 2 ) + ( 3x + 2 ) = 3x(5x + 7 ) - ( 5x + 7 )
=> ( 15x2 + 10x ) + ( 3x + 2 ) = ( 15x2 + 21x ) - ( 5x + 7 )
=> ( 3x + 2 ) + ( 5x + 7 ) = ( 15x2 + 21x ) - ( 15x2 + 10x )
=> ( 3x + 5x ) + ( 2 + 7 ) = ( 15x2 - 15x2 ) + ( 21x - 10x )
=> 8x + 9 = 11x
=> 9 = 11x - 8x
=> 9 = 3x
=> x = 3
Vậy x = 3
~~Học tốt~~
Ta có \(\frac{3x+2}{5x+7}\)=\(\frac{3x-1}{5x+1}\)=\(\frac{3x+2-3x+1}{5x+7-5x-1}\)=\(\frac{1}{2}\)
=> \(\frac{3x+2}{5x+7}\)=\(\frac{1}{2}\)=> ( 3x + 2 ) . 2 = 5x + 7 . 1 => 6x + 4 = 5x + 7 => x=3
a)\(x\left(x-3\right)-2x+6=0\)
\(\Leftrightarrow x\left(x-3\right)-2\left(x-3\right)=0\)
\(\Leftrightarrow\left(x-2\right)\left(x-3\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-2=0\\x-3=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=2\\x=3\end{cases}}\)
b)\(\left(3x-5\right)\left(5x-7\right)+\left(5x+1\right)\left(2-3x\right)=4\)
\(\Leftrightarrow15x^2-46x+35-15x^2+7x+2-4=0\)
\(\Leftrightarrow33-39x=0\Leftrightarrow33=39x\Leftrightarrow x=\frac{33}{39}\)
a) \(x\left(x-3\right)-2x+6=0\)
\(x\left(x-3\right)-2\left(x-3\right)=0\)
\(\left(x-3\right)\left(x-2\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-3=0\\x-2=0\end{cases}\Rightarrow\orbr{\begin{cases}x=3\\x=2\end{cases}}}\)
b) \((3x-5)(5x-7)+(5x+1)(2-3x)=4\)
\(15x^2-46x+35+10x-15x^2+2-3x-4=0\)
\(33-39x=0\)
\(3\left(11-13x\right)=0\)
\(11-13x=0\)
\(13x=11\)
\(x=\frac{11}{13}\)
P(x)=2x^4+2x^3-5x+3
Q(x)=4x^4-2x^3+2x^2+5x-2
P(x)+Q(x)
=2x^4+2x^3-5x+3+4x^4-2x^3+2x^2+5x-2
=6x^4+2x^2+1
Giải phương trình:
a) \(3x+3=2x+7\Leftrightarrow3x-2x=7-3\)
\(\Leftrightarrow x=4\)
Vậy: \(S=\left\{4\right\}\)
b) \(x+\left(6-5x\right)=2\left(x-1\right)-12\)
\(\Leftrightarrow x+6-5x=2x-2-12\)
\(\Leftrightarrow x-5x-2x=-2-12-6\)
\(\Leftrightarrow-6x=-20\Leftrightarrow x=\frac{20}{6}\)
Vậy: \(S=\left\{\frac{20}{6}\right\}\)
Chúc bạn học tốt!
a)(3x-1)(2x+7)-(x+1)(6x-5)=16
=6x^2+21x-2x-7-(6x^2-5x+6x-5)=16
=6x^2+21x-2x-7-6x^2+5x-6x+5=16
=18x-2=16
18x=16+2
18x=18
x=1
vậy x=1
b)(10x+9)x-(5x-1)(2x+3)=8
10x^2+9x-(10x^2+15x-2x-3)=8
10x^2+9x-10x^2-15x+2x+3=8
-4x+3=8
-4x=8-3
-4x=5
x=-5/4.
vay x=-5/4
\(\dfrac{3x+2}{5x+7}=\dfrac{3x-1}{5x-3}\)
\(\Leftrightarrow\left(3x+2\right)\left(5x-3\right)=\left(5x+7\right)\left(3x-1\right)\)
\(\Leftrightarrow\left(3x+2\right)\left(5x-3\right)-\left(5x+7\right)\left(3x-1\right)=0\)
\(\Leftrightarrow\left(15x^2-9x+10x-6\right)-\left(15x^2-5x+21x-7\right)=0\)
\(\Leftrightarrow15x^2-9x+10x-6-15x^2+5x-21x+7=0\)
\(\Leftrightarrow-15x+1=0\)
\(\Leftrightarrow-15x=-1\)
\(\Leftrightarrow x=\dfrac{-1}{-15}=\dfrac{1}{15}\)
Vậy \(x=\dfrac{1}{15}\)