x=x*x-4*x-2072

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Solution for x=x*x-4*x-2072 equation:



x=x*x-4x-2072
We move all terms to the left:
x-(x*x-4x-2072)=0
We add all the numbers together, and all the variables
x-(-4x+x*x-2072)=0
We get rid of parentheses
x+4x-x*x+2072=0
We add all the numbers together, and all the variables
5x-x*x+2072=0
Wy multiply elements
-1x^2+5x+2072=0
a = -1; b = 5; c = +2072;
Δ = b2-4ac
Δ = 52-4·(-1)·2072
Δ = 8313
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-\sqrt{8313}}{2*-1}=\frac{-5-\sqrt{8313}}{-2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{8313}}{2*-1}=\frac{-5+\sqrt{8313}}{-2} $

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