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-24.5x^2+63.7x-29.4=0
a = -24.5; b = 63.7; c = -29.4;
Δ = b2-4ac
Δ = 63.72-4·(-24.5)·(-29.4)
Δ = 1176.49
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{-(63.7)-\sqrt{1176.49}}{2*-24.5}=\frac{-63.7-\sqrt{1176.49}}{-49} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(63.7)+\sqrt{1176.49}}{2*-24.5}=\frac{-63.7+\sqrt{1176.49}}{-49} $
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