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**tony123****Member**- Registered: 2007-08-03
- Posts: 229

where x

and y

denote real numbers.

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**KerimF****Member**- From: Aleppo-Syria
- Registered: 2018-08-10
- Posts: 236

One solution is:

x=1802

y=1860

Every living thing has no choice but to execute its pre-programmed instructions embedded in it (known as instincts).

But only a human may have the freedom and ability to oppose his natural robotic nature.

But, by opposing it, such a human becomes no more of this world.

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**KerimF****Member**- From: Aleppo-Syria
- Registered: 2018-08-10
- Posts: 236

From the original equation:

[1] x-1801+sqrt[(y-1860)*(x-1801)] = 2*sqrt(x-1801) - 1

[2] sqrt[(y-1860)*(x-1801)] = -(x-1801)+ 2*sqrt(x-1801) - 1

[3] sqrt[(y-1860)*(x-1801)] = -[sqrt(x-1801) - 1]^2

Also from the original equation:

x-1801 > 0

x > 1801

From the equation [3] above:

The right side is always negative.

And for the sqrt on left side to exist, the right side should be 0.

[4] [sqrt(x-1801) - 1] = 0

[5] sqrt(x-1801) = 1

[5] (x-1801) = 1

[6] x = 1801 + 1

[7] x = 1802

Also the left side of [3] should be zero.

[8] sqrt[(y-1860)*(x-1801)] = 0

[9] (y-1860)*(x-1801) = 0

By replacing x = 1802

[10] (y-1860)* 1 = 0

[11] (y-1860) = 0

[12] y = 1860

Therefore, there is one solution only:

x = 1802

y = 1860

Every living thing has no choice but to execute its pre-programmed instructions embedded in it (known as instincts).

But only a human may have the freedom and ability to oppose his natural robotic nature.

But, by opposing it, such a human becomes no more of this world.

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