Question

answer it fast please (quadratic equations)

Answer 1

Hi !!!!

Question :

$24 = x + \frac{x {}^{2} }{100}$

Answer :

$24 = \frac{100x + {x}^{2} }{100} \\ \\ 24 \times 100 = {x}^{2} + 100x \\ \\ 2400 = {x}^{2} + 100x \\ \\ {x}^{2} + 100x - 2400 = 0 \\ \\ {x}^{} = \frac{ - b + - \sqrt{ {b}^{2} - 4ac } }{2a} \\ {x}^{} = - \frac{ - 100 + - \sqrt{100 {}^{2} - 4 \times 1 \times - 2400} }{2 \times 1} \\ \\ {x}^{} = \frac{ - 100 + - \sqrt{19600} }{2} = - 50 + - 70 \\ \\ x = 20 \: or \: - 120$