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-4x^2+16x+84=0
a = -4; b = 16; c = +84;
Δ = b2-4ac
Δ = 162-4·(-4)·84
Δ = 1600
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{1600}=40$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-40}{2*-4}=\frac{-56}{-8} =+7 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+40}{2*-4}=\frac{24}{-8} =-3 $
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