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0=86+13.95x-4.9x^2
We move all terms to the left:
0-(86+13.95x-4.9x^2)=0
We add all the numbers together, and all the variables
-(86+13.95x-4.9x^2)=0
We get rid of parentheses
4.9x^2-13.95x-86=0
a = 4.9; b = -13.95; c = -86;
Δ = b2-4ac
Δ = -13.952-4·4.9·(-86)
Δ = 1880.2025
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{-(-13.95)-\sqrt{1880.2025}}{2*4.9}=\frac{13.95-\sqrt{1880.2025}}{9.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-13.95)+\sqrt{1880.2025}}{2*4.9}=\frac{13.95+\sqrt{1880.2025}}{9.8} $
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