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0=X^2+3X-1080
We move all terms to the left:
0-(X^2+3X-1080)=0
We add all the numbers together, and all the variables
-(X^2+3X-1080)=0
We get rid of parentheses
-X^2-3X+1080=0
We add all the numbers together, and all the variables
-1X^2-3X+1080=0
a = -1; b = -3; c = +1080;
Δ = b2-4ac
Δ = -32-4·(-1)·1080
Δ = 4329
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}$$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{4329}=\sqrt{9*481}=\sqrt{9}*\sqrt{481}=3\sqrt{481}$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-3\sqrt{481}}{2*-1}=\frac{3-3\sqrt{481}}{-2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+3\sqrt{481}}{2*-1}=\frac{3+3\sqrt{481}}{-2} $
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