Question

x²(x-1)(x-2)/3*(10) solve a answer in step by step​

Answer 1

$\dfrac{ {x}^{2} - (x + 1)(x + 2) }{5x + 1} = 6 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: .. \bold{(given}$

Solving the question in parts. First solving numerator which is [ x² - ( x + 1 )( x + 2 ) ].

x² - [ ( x + 1 )( x + 2 ) ]

x² - [ x( x + 2 ) + 1( x + 2 ) ]

x² - [ x²+ 2x + x + 2 ]

x² - x² - 3x - 2

- 3x - 2

Therefore, on simplifying the denominator we get - 3x - 2

Therefore, [ x - ( x + 1 )( x + 2 ) ] = - 3x - 2

Then,

$\begin{gathered}\dfrac{ {x}^{2} - (x + 1)(x + 2) }{5x + 1} = 6 \\ \\ \\ \frac{ - 3x - 2}{5x + 1} = 6 \\ \\ \\ - 3x - 2 = 6(5x + 1) \\ \\ - 3x - 2 = 30x + 6 \\ \\ - 8 = 33x \\ \\ - \dfrac{ 8}{33} = x\end{gathered}$

Thus,

value of x satisfying the equation is - 8 / 33