5x+6x(121-x)=637

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Solution for 5x+6x(121-x)=637 equation:



5x+6x(121-x)=637
We move all terms to the left:
5x+6x(121-x)-(637)=0
We add all the numbers together, and all the variables
5x+6x(-1x+121)-637=0
We multiply parentheses
-6x^2+5x+726x-637=0
We add all the numbers together, and all the variables
-6x^2+731x-637=0
a = -6; b = 731; c = -637;
Δ = b2-4ac
Δ = 7312-4·(-6)·(-637)
Δ = 519073
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{-(731)-\sqrt{519073}}{2*-6}=\frac{-731-\sqrt{519073}}{-12} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(731)+\sqrt{519073}}{2*-6}=\frac{-731+\sqrt{519073}}{-12} $

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