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4.9x^2-1.71x-10=0
a = 4.9; b = -1.71; c = -10;
Δ = b2-4ac
Δ = -1.712-4·4.9·(-10)
Δ = 198.9241
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{-(-1.71)-\sqrt{198.9241}}{2*4.9}=\frac{1.71-\sqrt{198.9241}}{9.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.71)+\sqrt{198.9241}}{2*4.9}=\frac{1.71+\sqrt{198.9241}}{9.8} $
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