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-16x^2+18x+28=0
a = -16; b = 18; c = +28;
Δ = b2-4ac
Δ = 182-4·(-16)·28
Δ = 2116
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{2116}=46$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(18)-46}{2*-16}=\frac{-64}{-32} =+2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(18)+46}{2*-16}=\frac{28}{-32} =-7/8 $
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