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4.9x^2-72x-2=0
a = 4.9; b = -72; c = -2;
Δ = b2-4ac
Δ = -722-4·4.9·(-2)
Δ = 5223.2
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{-(-72)-\sqrt{5223.2}}{2*4.9}=\frac{72-\sqrt{5223.2}}{9.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-72)+\sqrt{5223.2}}{2*4.9}=\frac{72+\sqrt{5223.2}}{9.8} $
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