x*x+3.14*x-2*3.14*3.14=0

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Solution for x*x+3.14*x-2*3.14*3.14=0 equation:



x*x+3.14x-2*3.14*3.14=0
We add all the numbers together, and all the variables
3.14x+x*x-19.7192=0
Wy multiply elements
x^2+3.14x-19.7192=0
a = 1; b = 3.14; c = -19.7192;
Δ = b2-4ac
Δ = 3.142-4·1·(-19.7192)
Δ = 88.7364
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{-(3.14)-\sqrt{88.7364}}{2*1}=\frac{-3.14-\sqrt{88.7364}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3.14)+\sqrt{88.7364}}{2*1}=\frac{-3.14+\sqrt{88.7364}}{2} $

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