9x2+-115x=300

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Solution for 9x2+-115x=300 equation:



9x^2+-115x=300
We move all terms to the left:
9x^2+-115x-(300)=0
determiningTheFunctionDomain 9x^2-115x-300+=0
We add all the numbers together, and all the variables
9x^2-115x=0
a = 9; b = -115; c = 0;
Δ = b2-4ac
Δ = -1152-4·9·0
Δ = 13225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{13225}=115$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-115)-115}{2*9}=\frac{0}{18} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-115)+115}{2*9}=\frac{230}{18} =12+7/9 $

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