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-2x^2-16x+936=0
a = -2; b = -16; c = +936;
Δ = b2-4ac
Δ = -162-4·(-2)·936
Δ = 7744
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{7744}=88$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-16)-88}{2*-2}=\frac{-72}{-4} =+18 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16)+88}{2*-2}=\frac{104}{-4} =-26 $
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