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44x^2+363x-787.5=0
a = 44; b = 363; c = -787.5;
Δ = b2-4ac
Δ = 3632-4·44·(-787.5)
Δ = 270369
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{270369}=\sqrt{9*30041}=\sqrt{9}*\sqrt{30041}=3\sqrt{30041}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(363)-3\sqrt{30041}}{2*44}=\frac{-363-3\sqrt{30041}}{88} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(363)+3\sqrt{30041}}{2*44}=\frac{-363+3\sqrt{30041}}{88} $
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