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104=x^2-5x
We move all terms to the left:
104-(x^2-5x)=0
We get rid of parentheses
-x^2+5x+104=0
We add all the numbers together, and all the variables
-1x^2+5x+104=0
a = -1; b = 5; c = +104;
Δ = b2-4ac
Δ = 52-4·(-1)·104
Δ = 441
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{441}=21$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-21}{2*-1}=\frac{-26}{-2} =+13 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+21}{2*-1}=\frac{16}{-2} =-8 $
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