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0=x^2-3x-66
We move all terms to the left:
0-(x^2-3x-66)=0
We add all the numbers together, and all the variables
-(x^2-3x-66)=0
We get rid of parentheses
-x^2+3x+66=0
We add all the numbers together, and all the variables
-1x^2+3x+66=0
a = -1; b = 3; c = +66;
Δ = b2-4ac
Δ = 32-4·(-1)·66
Δ = 273
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{-(3)-\sqrt{273}}{2*-1}=\frac{-3-\sqrt{273}}{-2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{273}}{2*-1}=\frac{-3+\sqrt{273}}{-2} $
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