Question

1+1 ÷(1+1 ÷(1 +1 ÷(х + 2016))) = (1,2)² ​

Answer 1

Ответ:

х=-1 997,51157

Пошаговое объяснение:

2:(2:(2:(х+2016)))=1,44

2:(2:(х+2016))=2,0736

2:(х+2016)=4,29981696

х+2016=18,4884259

х=18,4884259-2016

Answer 2

1 + 1:(1 + 1:(1 + 1:(х + 2016))) = (1,2)²
1 + 1/(1 + 1/(1 + 1/(х + 2016))) = 1,44
1/(1 + 1/(1 + 1/(х + 2016))) = 1,44 - 1
1/(1 + 1/(1 + 1/(х + 2016))) = 0,44
1 + 1/(1 + 1/(х + 2016)) = 1/0,44
1 + 1/(1 + 1/(х + 2016)) = 100/44
1/(1 + 1/(х + 2016)) = 100/44 - 1
1/(1 + 1/(х + 2016)) = 100/44 - 44/44
1/(1 + 1/(х + 2016)) = 56/44
1/(1 + 1/(х + 2016)) = 14/11
1 + 1/(х + 2016) = 1 : 14/11
1 + 1/(х + 2016) = 11/14
1/(х + 2016) = 11/14 - 1
1/(х + 2016) = 11/14 - 14/14
1/(х + 2016) = -3/14
х + 2016 = 1 : (-3/14)
х + 2016 = -14/3
х = -2016 - 14/3
х = - 2030/3
х = - 676 2/3

Answer 3

Let's break down the equation step by step:

1. First, let's simplify the expression on the left-hand side:

   1 + 1 ÷ (1 + 1 ÷ (1 + 1 ÷ (x + 2016)))

2. Inside the innermost set of parentheses, we have:

   1 + 1 ÷ (1 + 1 ÷ (x + 2016))

3. Inside the second set of parentheses:

   1 + 1 ÷ (1 + (x + 2016))

4. Inside the first set of parentheses:

   1 + 1 ÷ (x + 2017)

5. Now, we have:

   1 + 1 ÷ (x + 2017)

6. Divide 1 by (x + 2017):

   1 / (x + 2017)

Now, the left-hand side of the equation is:

1 + 1 / (x + 2017)

On the right-hand side, we have (1.2)², which is equal to 1.44.

So, the equation becomes:

1 + 1 / (x + 2017) = 1.44

Now, we can solve for x:

1 / (x + 2017) = 1.44 - 1 1 / (x + 2017) = 0.44

Now, to isolate x, we can take the reciprocal of both sides:

x + 2017 = 1 / 0.44

x + 2017 = 2.272727...

Subtract 2017 from both sides:

x = 2.272727... - 2017

x ≈ -2014.727727...

So, the approximate value of x that satisfies the equation is x ≈ -2014.727727...