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-0.2x^2-x+450=0
We add all the numbers together, and all the variables
-0.2x^2-1x+450=0
a = -0.2; b = -1; c = +450;
Δ = b2-4ac
Δ = -12-4·(-0.2)·450
Δ = 361
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{361}=19$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-19}{2*-0.2}=\frac{-18}{-0.4} =+45 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+19}{2*-0.2}=\frac{20}{-0.4} =-50 $
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