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720=X*X+1
We move all terms to the left:
720-(X*X+1)=0
We get rid of parentheses
-X*X-1+720=0
We add all the numbers together, and all the variables
-X*X+719=0
Wy multiply elements
-1X^2+719=0
a = -1; b = 0; c = +719;
Δ = b2-4ac
Δ = 02-4·(-1)·719
Δ = 2876
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}$$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{2876}=\sqrt{4*719}=\sqrt{4}*\sqrt{719}=2\sqrt{719}$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{719}}{2*-1}=\frac{0-2\sqrt{719}}{-2} =-\frac{2\sqrt{719}}{-2} =-\frac{\sqrt{719}}{-1} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{719}}{2*-1}=\frac{0+2\sqrt{719}}{-2} =\frac{2\sqrt{719}}{-2} =\frac{\sqrt{719}}{-1} $
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