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X^2-17X=-18
We move all terms to the left:
X^2-17X-(-18)=0
We add all the numbers together, and all the variables
X^2-17X+18=0
a = 1; b = -17; c = +18;
Δ = b2-4ac
Δ = -172-4·1·18
Δ = 217
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{-(-17)-\sqrt{217}}{2*1}=\frac{17-\sqrt{217}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-17)+\sqrt{217}}{2*1}=\frac{17+\sqrt{217}}{2} $
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