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x^2+x(0.3+0.35)-0.35-0.5=0
We add all the numbers together, and all the variables
x^2+x(0.65)-0.35-0.5=0
We add all the numbers together, and all the variables
x^2+x(0.65)-0.85=0
We multiply parentheses
x^2+0.65x-0.85=0
a = 1; b = 0.65; c = -0.85;
Δ = b2-4ac
Δ = 0.652-4·1·(-0.85)
Δ = 3.8225
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{-(0.65)-\sqrt{3.8225}}{2*1}=\frac{-0.65-\sqrt{3.8225}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.65)+\sqrt{3.8225}}{2*1}=\frac{-0.65+\sqrt{3.8225}}{2} $
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