Question

x+(x+24)+(x-100)=35

Answer 1

Ответ:

х + х + 24 + х - 100 = 35

3х + 24 - 100 = 35

3х + (-76) = 35

3х = 35 - (-76)

3х = 111

х = 111/3

х = 37

Answer 2

Ответ:

$x(x + 24) + (x - 100) = 35 \\ x {}^{2} + 24x + x - 100 = 35 \\ x {}^{2} + 25x - 100 = 35 \\ x {}^{2} + 25x - 100 - 35 = 0 \\ x {}^{2} + 25x - 135 = 0 \\ x = \frac{ - 25 \frac{ + }{ - } \sqrt{25 {}^{2} - 4 \times 1 \times ( - 135) } }{2 \times 1} \\ x = \frac{ - 25 \frac{ + }{ - } \sqrt{625 + 540} }{2} \\ x = - \frac{ - 25 \frac{ + }{ - } \sqrt{1165} }{2} \\ x1 = \frac{ - 25 + \sqrt{1165} }{2} \\ x2 = \frac{ - 25 - \sqrt{1165} }{2}$