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X2-8X=121.6
We move all terms to the left:
X2-8X-(121.6)=0
We add all the numbers together, and all the variables
X^2-8X-121.6=0
a = 1; b = -8; c = -121.6;
Δ = b2-4ac
Δ = -82-4·1·(-121.6)
Δ = 550.4
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}$$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-\sqrt{550.4}}{2*1}=\frac{8-\sqrt{550.4}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+\sqrt{550.4}}{2*1}=\frac{8+\sqrt{550.4}}{2} $
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