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8=17.15x-4.9x^2
We move all terms to the left:
8-(17.15x-4.9x^2)=0
We get rid of parentheses
4.9x^2-17.15x+8=0
a = 4.9; b = -17.15; c = +8;
Δ = b2-4ac
Δ = -17.152-4·4.9·8
Δ = 137.3225
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{-(-17.15)-\sqrt{137.3225}}{2*4.9}=\frac{17.15-\sqrt{137.3225}}{9.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-17.15)+\sqrt{137.3225}}{2*4.9}=\frac{17.15+\sqrt{137.3225}}{9.8} $
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