4x2-20=556

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Solution for 4x2-20=556 equation:



4x^2-20=556
We move all terms to the left:
4x^2-20-(556)=0
We add all the numbers together, and all the variables
4x^2-576=0
a = 4; b = 0; c = -576;
Δ = b2-4ac
Δ = 02-4·4·(-576)
Δ = 9216
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9216}=96$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-96}{2*4}=\frac{-96}{8} =-12 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+96}{2*4}=\frac{96}{8} =12 $

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