# $$4044*4044 = 16353936$$

Algebra Level 4

It is known the quadratic equation ${ x }^{ 2 }\quad -\quad x\quad -\quad 1635798016357980\quad =\quad 0$ The quadratic equation can be rewritten as $$(x\quad -\quad \alpha )(x\quad -\quad \beta )\quad =\quad 0$$ whereas $$\alpha \quad >\quad \beta$$. Calculate the result of $\frac { \alpha \quad +\quad 4\left\lfloor { \alpha }^{ \frac { 1 }{ 2 } } \right\rfloor \quad -\quad { \alpha }^{ 0 } }{ \left\lfloor \frac { { \beta }^{ 2 } }{ 4000 } \right\rfloor \quad -\quad \left\lceil \frac { \beta }{ 800 } \right\rceil \quad +\quad { \left| { \beta }^{ 0 } \right| } }$

###### Try not to use a calculator, however you may use the fact that is in the title of this question
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