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-5x^2+64x+84=0
a = -5; b = 64; c = +84;
Δ = b2-4ac
Δ = 642-4·(-5)·84
Δ = 5776
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{5776}=76$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(64)-76}{2*-5}=\frac{-140}{-10} =+14 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(64)+76}{2*-5}=\frac{12}{-10} =-1+1/5 $
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