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X(27+X-8)=98
We move all terms to the left:
X(27+X-8)-(98)=0
We add all the numbers together, and all the variables
X(X+19)-98=0
We multiply parentheses
X^2+19X-98=0
a = 1; b = 19; c = -98;
Δ = b2-4ac
Δ = 192-4·1·(-98)
Δ = 753
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{-(19)-\sqrt{753}}{2*1}=\frac{-19-\sqrt{753}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(19)+\sqrt{753}}{2*1}=\frac{-19+\sqrt{753}}{2} $
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