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x2+40x-384=0
We add all the numbers together, and all the variables
x^2+40x-384=0
a = 1; b = 40; c = -384;
Δ = b2-4ac
Δ = 402-4·1·(-384)
Δ = 3136
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{3136}=56$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(40)-56}{2*1}=\frac{-96}{2} =-48 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(40)+56}{2*1}=\frac{16}{2} =8 $
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