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-4.9x^2+17.5x+1.75=0
a = -4.9; b = 17.5; c = +1.75;
Δ = b2-4ac
Δ = 17.52-4·(-4.9)·1.75
Δ = 340.55
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{-(17.5)-\sqrt{340.55}}{2*-4.9}=\frac{-17.5-\sqrt{340.55}}{-9.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17.5)+\sqrt{340.55}}{2*-4.9}=\frac{-17.5+\sqrt{340.55}}{-9.8} $
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