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4.9x^2-13x-58=0
a = 4.9; b = -13; c = -58;
Δ = b2-4ac
Δ = -132-4·4.9·(-58)
Δ = 1305.8
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{-(-13)-\sqrt{1305.8}}{2*4.9}=\frac{13-\sqrt{1305.8}}{9.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-13)+\sqrt{1305.8}}{2*4.9}=\frac{13+\sqrt{1305.8}}{9.8} $
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