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0.36=q^2+1.6q
We move all terms to the left:
0.36-(q^2+1.6q)=0
We get rid of parentheses
-q^2-1.6q+0.36=0
We add all the numbers together, and all the variables
-1q^2-1.6q+0.36=0
a = -1; b = -1.6; c = +0.36;
Δ = b2-4ac
Δ = -1.62-4·(-1)·0.36
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$q_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$q_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{4}=2$$q_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1.6)-2}{2*-1}=\frac{-0.4}{-2} =0.4/2 $$q_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.6)+2}{2*-1}=\frac{3.6}{-2} =-1+1/1.25 $
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