Question

i have a doubt please say to me​

Answer 1

$\: \: \: \: \: \: \: \: \: \: \frac{ {x}^{2} + 5x + 4 }{ {x}^{2} + 3x + 2 } = \frac{3}{2}$

$\: \: \: \: \: \: \sf{by \: cross \: multiplication}$

$2( {x}^{2} + 5x + 4) = 3( {x}^{2} + 3x + 2)$

$\: \: 2 {x}^{2} + 10x + 8 = 3 {x}^{2} + 9x + 6$

$\sf{3 {x}^{2} - 2 {x}^{2} + 9x - 10x + 6 - 8 = 0}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: {x}^{2} - x - 2 = 0$

$\: \: \: \: \: \: \: \: \: \: {x}^{2} - 2x + x - 2 = 0$

$\ \: \: \: \: \: \: x(x - 2) + 1(x - 2) = 0$

$\: \: \: \: \: \: \: \: \: \: \: \: (x + 1)(x - 2) = 0$

$\: \: \: \: \: \: \: \: \: \: \sf \boxed{{{x = - 1}} \: and \: x = 2}$

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Answer 2

Answer:

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