Question

8 x minus 2 x square is equals to 5 find the value of x using formula

Answer 1

Answer:

$8x - 2 {x}^{2} = 5 \\ = 8x - 2 {x}^{2} - 5 = 0 \\ = - 2 {x}^{2} + 8x - 5 = 0 \\ \\ by \: using \: quadratic \: formula \\ x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac} }{2a} \\ = \frac{ - 8 + - \sqrt{ {8}^{2} - 4( - 2)( - 5) } }{2( - 2)} \\ = \frac{ - 8 + - \sqrt{24} }{ - 4} \\ = \frac{ - 8 + - 2 \sqrt{6} }{ - 4} \\ = x = \frac{ - 8 + 2 \sqrt{6} }{ - 4} = \frac{ - 4 + \sqrt{6} }{ - 2 } \\ = or \: x = \frac{ - 8 - 2 \sqrt{6} }{ - 4} \\ = \frac{ - 4 - \sqrt{6} }{ - 2}$

Hope it helps..