l(37-l)=330

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Solution for l(37-l)=330 equation:



l(37-l)=330
We move all terms to the left:
l(37-l)-(330)=0
We add all the numbers together, and all the variables
l(-1l+37)-330=0
We multiply parentheses
-1l^2+37l-330=0
a = -1; b = 37; c = -330;
Δ = b2-4ac
Δ = 372-4·(-1)·(-330)
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$l_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$l_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$
$l_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(37)-7}{2*-1}=\frac{-44}{-2} =+22 $
$l_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(37)+7}{2*-1}=\frac{-30}{-2} =+15 $

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