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8.4-x-x^2=0
We add all the numbers together, and all the variables
-1x^2-1x+8.4=0
a = -1; b = -1; c = +8.4;
Δ = b2-4ac
Δ = -12-4·(-1)·8.4
Δ = 34.6
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)-\sqrt{34.6}}{2*-1}=\frac{1-\sqrt{34.6}}{-2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{34.6}}{2*-1}=\frac{1+\sqrt{34.6}}{-2} $
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