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X2=14X-33
We move all terms to the left:
X2-(14X-33)=0
We add all the numbers together, and all the variables
X^2-(14X-33)=0
We get rid of parentheses
X^2-14X+33=0
a = 1; b = -14; c = +33;
Δ = b2-4ac
Δ = -142-4·1·33
Δ = 64
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}$$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{64}=8$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-14)-8}{2*1}=\frac{6}{2} =3 $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14)+8}{2*1}=\frac{22}{2} =11 $
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