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720=x^2+4x
We move all terms to the left:
720-(x^2+4x)=0
We get rid of parentheses
-x^2-4x+720=0
We add all the numbers together, and all the variables
-1x^2-4x+720=0
a = -1; b = -4; c = +720;
Δ = b2-4ac
Δ = -42-4·(-1)·720
Δ = 2896
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{2896}=\sqrt{16*181}=\sqrt{16}*\sqrt{181}=4\sqrt{181}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-4\sqrt{181}}{2*-1}=\frac{4-4\sqrt{181}}{-2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+4\sqrt{181}}{2*-1}=\frac{4+4\sqrt{181}}{-2} $
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