Question

5x + 7/x - 1 =3x+2 by using quadratic formula solve the equation...? ​

Answer 1

Answer:

$5x + \frac{7}{x} - 1 = 3x + 2 \\ \frac{5 {x}^{2} + 7 - x }{x} = 3x + 2 \\ 5 {x}^{2} + 7 - x = x(3x + 2) \\ 5 {x}^{2} + 7 - x = 3 {x}^{2} + 2x \\ 5 {x}^{2} - 3 {x}^{2} - x - 2x + 7 = 0 \\ 2 {x}^{2} - 3x + 7 = 0 \\ x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} \\ x = \frac{ - ( - 3)± \sqrt{ {( - 3)}^{2} - 4(2)(7)} }{2 \times 2} \\ x = \frac{3± \sqrt{9 - 56} }{4} \\ x = \frac{3± \sqrt{ - 47} }{4} \\ \boxed{x = \underline{ \underline{ \frac{3 + \sqrt{ - 47} }{4}}} \: \: \: or \: \: \: x = \underline{ \underline{\frac{3 - \sqrt{ - 47} }{4} }}}$