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265=81.25x-4.9x^2
We move all terms to the left:
265-(81.25x-4.9x^2)=0
We get rid of parentheses
4.9x^2-81.25x+265=0
a = 4.9; b = -81.25; c = +265;
Δ = b2-4ac
Δ = -81.252-4·4.9·265
Δ = 1407.5625
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{-(-81.25)-\sqrt{1407.5625}}{2*4.9}=\frac{81.25-\sqrt{1407.5625}}{9.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-81.25)+\sqrt{1407.5625}}{2*4.9}=\frac{81.25+\sqrt{1407.5625}}{9.8} $
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