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X=246-(X2)
We move all terms to the left:
X-(246-(X2))=0
We add all the numbers together, and all the variables
-(-1X^2+246)+X=0
We get rid of parentheses
1X^2+X-246=0
We add all the numbers together, and all the variables
X^2+X-246=0
a = 1; b = 1; c = -246;
Δ = b2-4ac
Δ = 12-4·1·(-246)
Δ = 985
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}$$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{985}}{2*1}=\frac{-1-\sqrt{985}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{985}}{2*1}=\frac{-1+\sqrt{985}}{2} $
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