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-22x^2-66x+1540=0
a = -22; b = -66; c = +1540;
Δ = b2-4ac
Δ = -662-4·(-22)·1540
Δ = 139876
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{139876}=374$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-66)-374}{2*-22}=\frac{-308}{-44} =+7 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-66)+374}{2*-22}=\frac{440}{-44} =-10 $
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