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15+16.3392x-4.9x^2=-15
We move all terms to the left:
15+16.3392x-4.9x^2-(-15)=0
We add all the numbers together, and all the variables
-4.9x^2+16.3392x+30=0
a = -4.9; b = 16.3392; c = +30;
Δ = b2-4ac
Δ = 16.33922-4·(-4.9)·30
Δ = 854.96945664
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{-(16.3392)-\sqrt{854.96945664}}{2*-4.9}=\frac{-16.3392-\sqrt{854.96945664}}{-9.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16.3392)+\sqrt{854.96945664}}{2*-4.9}=\frac{-16.3392+\sqrt{854.96945664}}{-9.8} $
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