-25=-0.03*x^2+x

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Solution for -25=-0.03*x^2+x equation:



-25=-0.03x^2+x
We move all terms to the left:
-25-(-0.03x^2+x)=0
We get rid of parentheses
0.03x^2-x-25=0
We add all the numbers together, and all the variables
0.03x^2-1x-25=0
a = 0.03; b = -1; c = -25;
Δ = b2-4ac
Δ = -12-4·0.03·(-25)
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-2}{2*0.03}=\frac{-1}{0.06} =-16+0.04/0.06 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+2}{2*0.03}=\frac{3}{0.06} =50 $

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