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78=(x^2-x)/2
We move all terms to the left:
78-((x^2-x)/2)=0
We multiply all the terms by the denominator
-((x^2-x)+78*2)=0
We calculate terms in parentheses: -((x^2-x)+78*2), so:We get rid of parentheses
(x^2-x)+78*2
We add all the numbers together, and all the variables
(x^2-x)+156
We get rid of parentheses
x^2-x+156
We add all the numbers together, and all the variables
x^2-1x+156
Back to the equation:
-(x^2-1x+156)
-x^2+1x-156=0
We add all the numbers together, and all the variables
-1x^2+x-156=0
a = -1; b = 1; c = -156;
Δ = b2-4ac
Δ = 12-4·(-1)·(-156)
Δ = -623
Delta is less than zero, so there is no solution for the equation
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