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X(X+3)=720
We move all terms to the left:
X(X+3)-(720)=0
We multiply parentheses
X^2+3X-720=0
a = 1; b = 3; c = -720;
Δ = b2-4ac
Δ = 32-4·1·(-720)
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{-(3)-3\sqrt{321}}{2*1}=\frac{-3-3\sqrt{321}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+3\sqrt{321}}{2*1}=\frac{-3+3\sqrt{321}}{2} $
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