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-35x^2+57x+44=0
a = -35; b = 57; c = +44;
Δ = b2-4ac
Δ = 572-4·(-35)·44
Δ = 9409
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{9409}=97$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(57)-97}{2*-35}=\frac{-154}{-70} =2+1/5 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(57)+97}{2*-35}=\frac{40}{-70} =-4/7 $
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