0=5x^2+0-20

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Solution for 0=5x^2+0-20 equation:



0=5x^2+0-20
We move all terms to the left:
0-(5x^2+0-20)=0
We add all the numbers together, and all the variables
-(5x^2+0-20)=0
We get rid of parentheses
-5x^2-0+20=0
We add all the numbers together, and all the variables
-5x^2+20=0
a = -5; b = 0; c = +20;
Δ = b2-4ac
Δ = 02-4·(-5)·20
Δ = 400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{400}=20$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20}{2*-5}=\frac{-20}{-10} =+2 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20}{2*-5}=\frac{20}{-10} =-2 $

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