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720=x*x-1x-2
We move all terms to the left:
720-(x*x-1x-2)=0
We add all the numbers together, and all the variables
-(-1x+x*x-2)+720=0
We get rid of parentheses
1x-x*x+2+720=0
We add all the numbers together, and all the variables
x-x*x+722=0
Wy multiply elements
-1x^2+x+722=0
a = -1; b = 1; c = +722;
Δ = b2-4ac
Δ = 12-4·(-1)·722
Δ = 2889
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{2889}=\sqrt{9*321}=\sqrt{9}*\sqrt{321}=3\sqrt{321}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-3\sqrt{321}}{2*-1}=\frac{-1-3\sqrt{321}}{-2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+3\sqrt{321}}{2*-1}=\frac{-1+3\sqrt{321}}{-2} $
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