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(X)(X-3)=91.84
We move all terms to the left:
(X)(X-3)-(91.84)=0
We add all the numbers together, and all the variables
X(X-3)-91.84=0
We multiply parentheses
X^2-3X-91.84=0
a = 1; b = -3; c = -91.84;
Δ = b2-4ac
Δ = -32-4·1·(-91.84)
Δ = 376.36
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{-(-3)-\sqrt{376.36}}{2*1}=\frac{3-\sqrt{376.36}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+\sqrt{376.36}}{2*1}=\frac{3+\sqrt{376.36}}{2} $
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