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336=x^2-9x
We move all terms to the left:
336-(x^2-9x)=0
We get rid of parentheses
-x^2+9x+336=0
We add all the numbers together, and all the variables
-1x^2+9x+336=0
a = -1; b = 9; c = +336;
Δ = b2-4ac
Δ = 92-4·(-1)·336
Δ = 1425
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{1425}=\sqrt{25*57}=\sqrt{25}*\sqrt{57}=5\sqrt{57}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-5\sqrt{57}}{2*-1}=\frac{-9-5\sqrt{57}}{-2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+5\sqrt{57}}{2*-1}=\frac{-9+5\sqrt{57}}{-2} $
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