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26-11x+4=x^2
We move all terms to the left:
26-11x+4-(x^2)=0
determiningTheFunctionDomain -x^2-11x+26+4=0
We add all the numbers together, and all the variables
-1x^2-11x+30=0
a = -1; b = -11; c = +30;
Δ = b2-4ac
Δ = -112-4·(-1)·30
Δ = 241
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{-(-11)-\sqrt{241}}{2*-1}=\frac{11-\sqrt{241}}{-2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+\sqrt{241}}{2*-1}=\frac{11+\sqrt{241}}{-2} $
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