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-25=-4.9x^2+25x
We move all terms to the left:
-25-(-4.9x^2+25x)=0
We get rid of parentheses
4.9x^2-25x-25=0
a = 4.9; b = -25; c = -25;
Δ = b2-4ac
Δ = -252-4·4.9·(-25)
Δ = 1115
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{-(-25)-\sqrt{1115}}{2*4.9}=\frac{25-\sqrt{1115}}{9.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25)+\sqrt{1115}}{2*4.9}=\frac{25+\sqrt{1115}}{9.8} $
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