((x*x)-100)-100-100-100=0

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Solution for ((x*x)-100)-100-100-100=0 equation:



((x*x)-100)-100-100-100=0
We add all the numbers together, and all the variables
((+x*x)-100)-100-100-100=0
We add all the numbers together, and all the variables
((+x*x)-100)-300=0
We calculate terms in parentheses: +((+x*x)-100), so:
(+x*x)-100
We get rid of parentheses
x*x-100
Wy multiply elements
x^2-100
Back to the equation:
+(x^2-100)
We get rid of parentheses
x^2-100-300=0
We add all the numbers together, and all the variables
x^2-400=0
a = 1; b = 0; c = -400;
Δ = b2-4ac
Δ = 02-4·1·(-400)
Δ = 1600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1600}=40$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-40}{2*1}=\frac{-40}{2} =-20 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+40}{2*1}=\frac{40}{2} =20 $

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