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X^2-17X=7
We move all terms to the left:
X^2-17X-(7)=0
a = 1; b = -17; c = -7;
Δ = b2-4ac
Δ = -172-4·1·(-7)
Δ = 317
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{317}}{2*1}=\frac{17-\sqrt{317}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-17)+\sqrt{317}}{2*1}=\frac{17+\sqrt{317}}{2} $
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