Question

$(x + 1) \times (x -3) - 3 {x}^{2} + x =$
de la forma mas sencilla

Answer 1

$(x + 1) \times (x -3)- 3 {x}^{2} + x =0$
${x}^{2} + x - 3x - 3 - 3 {x}^{2} + x = 0$
${2x}^{2} + x - 3 = 0$
a = 2
b = 1
c = -3
$x1 \: \: x2 = \frac{ - b + - \sqrt{ {b}^{2} - 4ac } }{2a}$
$x1= \frac{ -( 1) + \sqrt{ {( 1)}^{2} - 4( 2)( - 3) } }{2(2)}$
$x2= \frac{ -(1) - \sqrt{ {( 1)}^{2} - 4( 2)( - 3) } }{2(2)}$
$x1= \frac{ -1 + \sqrt{ { 1 + 24 }} }{4}$
$x1= \frac{ -1 + \sqrt{ { 25}} }{4}$
$x1= \frac{ -1 + 5}{4}$
$x1= \frac{ 4}{4} = 1$
$x2= \frac{ -1 - \sqrt{ {1 + 24 } }}{4}$
$x2= \frac{ -1 - \sqrt{ {25 } }}{4}$
$x2= \frac{ -1 - 5 }{4}$
$x2= \frac{ -6}{4} = \frac{ - 3}{2}$