Question

5x+4/2+1 = x-2/6 solve please​

Answer 1

Step-by-step explanation:

$\frac{5x + 4}{2x + 1} = \frac{x -2}{6 } \\ \\ 6(5x + 4) = (2x + 1)(x - 2) \\ \\ 30x + 24 = 2 {x}^{2} - 4x + x - 2 \\ \\ 30x + 24 = 2 {x}^{2} - 3x - 2 \\ \\ 2 {x}^{2} - 33x - 26 = 0 \\ \\ from \: formula \: of \: \: x = \frac{ - b \: ± \sqrt{ {b}^{2} - 4ac } }{2a} \\ \\ here \: we \: have \: \\ a = 2 \\ b = - 33 \\ c = - 26 \\ \\ x = \frac{ - ( - 33) ± \sqrt{ {( - 33)}^{2} - 4(2)( - 26)} }{2(2)} \\ \\ x = \frac{33 + - \sqrt{1089 + 208} }{4} \\ \\ x = \frac{33 ± \sqrt{1297} }{4} \\ \\ x = \frac{33 ± 36}{4} \: \: \\ \\ we \: take \: 1296 \: \: for \: easy \: square \: root \\ \\ x = \frac{33 + 36}{4} \: \: \: or \: \: \: x = \frac{33 - 36}{4} \\ \\ x = \frac{96}{4} \: \: \: or \: \: \: x = - \frac{ 3}{4} \\ \\ x = 24 \: \: \: or \: \: \: x = - \frac{3}{4}$

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