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x^2+1.78(10^-9x)-2.136(10^-10)=0
We add all the numbers together, and all the variables
x^2+1.78(10^-9x)-10-2.136E=0
We multiply parentheses
x^2-16.02x-10+-2.136E=0
We add all the numbers together, and all the variables
x^2-16.02x-15.806249985589=0
a = 1; b = -16.02; c = -15.806249985589;
Δ = b2-4ac
Δ = -16.022-4·1·(-15.806249985589)
Δ = 319.86539994236
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{-(-16.02)-\sqrt{319.86539994236}}{2*1}=\frac{16.02-\sqrt{319.86539994236}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16.02)+\sqrt{319.86539994236}}{2*1}=\frac{16.02+\sqrt{319.86539994236}}{2} $
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