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44x^2+374x-787.5=0
a = 44; b = 374; c = -787.5;
Δ = b2-4ac
Δ = 3742-4·44·(-787.5)
Δ = 278476
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{278476}=\sqrt{4*69619}=\sqrt{4}*\sqrt{69619}=2\sqrt{69619}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(374)-2\sqrt{69619}}{2*44}=\frac{-374-2\sqrt{69619}}{88} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(374)+2\sqrt{69619}}{2*44}=\frac{-374+2\sqrt{69619}}{88} $
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