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x^2-33x=154
We move all terms to the left:
x^2-33x-(154)=0
a = 1; b = -33; c = -154;
Δ = b2-4ac
Δ = -332-4·1·(-154)
Δ = 1705
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{-(-33)-\sqrt{1705}}{2*1}=\frac{33-\sqrt{1705}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-33)+\sqrt{1705}}{2*1}=\frac{33+\sqrt{1705}}{2} $
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