x^2=16/400

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Solution for x^2=16/400 equation:



x^2=16/400
We move all terms to the left:
x^2-(16/400)=0
We add all the numbers together, and all the variables
x^2-(+16/400)=0
We get rid of parentheses
x^2-16/400=0
We multiply all the terms by the denominator
x^2*400-16=0
Wy multiply elements
400x^2-16=0
a = 400; b = 0; c = -16;
Δ = b2-4ac
Δ = 02-4·400·(-16)
Δ = 25600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25600}=160$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-160}{2*400}=\frac{-160}{800} =-1/5 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+160}{2*400}=\frac{160}{800} =1/5 $

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