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:

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

Answer 3

Let's solve the equation step by step:

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

First, let's combine like terms:

3X - 76 = 35

Next, let's isolate the variable X on one side of the equation. To do this, we need to get rid of the constant term (-76) on the left side. We can do this by adding 76 to both sides of the equation:

3X = 35 + 76

3X = 111

Finally, to find the value of X, we divide both sides by 3:

X = 111 / 3

X = 37

So, the solution to the equation is X = 37.