3=0.014x^2-1.19x+28.25

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Solution for 3=0.014x^2-1.19x+28.25 equation:



3=0.014x^2-1.19x+28.25
We move all terms to the left:
3-(0.014x^2-1.19x+28.25)=0
We get rid of parentheses
-0.014x^2+1.19x-28.25+3=0
We add all the numbers together, and all the variables
-0.014x^2+1.19x-25.25=0
a = -0.014; b = 1.19; c = -25.25;
Δ = b2-4ac
Δ = 1.192-4·(-0.014)·(-25.25)
Δ = 0.0021
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{-(1.19)-\sqrt{0.0021}}{2*-0.014}=\frac{-1.19-\sqrt{0.0021}}{-0.028} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1.19)+\sqrt{0.0021}}{2*-0.014}=\frac{-1.19+\sqrt{0.0021}}{-0.028} $

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