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\(\frac{2x-3}{\left(7-6x\right)^2}+\frac{x-2}{\left(7-6x\right)^2}=\frac{6x-3}{\left(3x-5\right)^2}-\frac{12x-10}{\left(3x-5\right)^2}\)
\(\Leftrightarrow\frac{2x-3+x-2}{\left(7-6x\right)^2}=\frac{6x-3-12x+10}{\left(3x-5\right)^2}\)
\(\Leftrightarrow\frac{3x-5}{\left(7-6x\right)^2}=\frac{7-6x}{\left(3x-5\right)^2}\)
\(\Leftrightarrow\left(7-6x\right)^3=\left(3x-5\right)^3\)
\(\Leftrightarrow7-6x=3x-5\)
\(\Leftrightarrow7+5=3x+6x\)
\(\Leftrightarrow12=9x\)
\(\Leftrightarrow x=\frac{4}{3}\)
Vậy \(x=\frac{4}{3}\)
\(\dfrac{5}{4}-6x=7\dfrac{1}{2}\)
\(\dfrac{5}{4}-6x=\dfrac{15}{2}\)
\(6x=\dfrac{5}{4}-\dfrac{15}{2}\)
\(6x=-\dfrac{25}{4}\)
\(x=-\dfrac{25}{4}:6\)
\(x=\dfrac{-25}{24}\)
* Trả lời:
\(\left(1\right)\) \(-3\left(1-2x\right)-4\left(1+3x\right)=-5x+5\)
\(\Leftrightarrow-3+6x-4-12x=-5x+5\)
\(\Leftrightarrow6x-12x+5x=3+4+5\)
\(\Leftrightarrow x=12\)
\(\left(2\right)\) \(3\left(2x-5\right)-6\left(1-4x\right)=-3x+7\)
\(\Leftrightarrow6x-15-6+24x=-3x+7\)
\(\Leftrightarrow6x+24x+3x=15+6+7\)
\(\Leftrightarrow33x=28\)
\(\Leftrightarrow x=\dfrac{28}{33}\)
\(\left(3\right)\) \(\left(1-3x\right)-2\left(3x-6\right)=-4x-5\)
\(\Leftrightarrow1-3x-6x+12=-4x-5\)
\(\Leftrightarrow-3x-6x+4x=-1-12-5\)
\(\Leftrightarrow-5x=-18\)
\(\Leftrightarrow x=\dfrac{18}{5}\)
\(\left(4\right)\) \(x\left(4x-3\right)-2x\left(2x-1\right)=5x-7\)
\(\Leftrightarrow4x^2-3x-4x^2+2x=5x-7\)
\(\Leftrightarrow-x-5x=-7\)
\(\Leftrightarrow-6x=-7\)
\(\Leftrightarrow x=\dfrac{7}{6}\)
\(\left(5\right)\) \(3x\left(2x-1\right)-6x\left(x+2\right)=-3x+4\)
\(\Leftrightarrow6x^2-3x-6x^2-12x=-3x+4\)
\(\Leftrightarrow-15x+3x=4\)
\(\Leftrightarrow-12x=4\)
\(\Leftrightarrow x=-\dfrac{1}{3}\)
\(6x^2-\left(2x+5\right).\left(3x-2\right)=7\Leftrightarrow6x^2-\left(6x^2-4x+15x-10\right)=7\)
\(\Leftrightarrow6x^2-6x^2+4x-15x+10=7\Leftrightarrow4x-15x=7-10\)
\(\Leftrightarrow-11x=-3\Leftrightarrow x=\dfrac{-3}{-11}=\dfrac{3}{11}\) vậy \(x=\dfrac{3}{11}\)
\(6x^2-\left(2x+5\right)\left(3x-2\right)=7\)
\(\Rightarrow6x^2-2x\left(3x-2\right)-5\left(3x-2\right)=7\)
\(\Rightarrow6x^2-6x^2+4x-15x+10=7\)
\(\Rightarrow-11x+10=7\)
\(\Rightarrow-11x=-3\)
\(\Rightarrow x=\dfrac{3}{11}\)
(x+7)(x^4-6x^3+2x^2-5)
=x^5-6x^4+2x^3-5x+7x^4-42x^3+14x^2-35
=x^5+x^4-40x^3+14x^2-5x-35
`-6x-(-7)=2`
`-6x+7=2`
`-6x=2-7`
`-6x=-5`
`x=(-5):(-6)`
`x=5:6`
`x=5/6`
-6x -(-7) =2
-6x +7 = 2
6x = 7-2
6x = 5
x = 5/6