13x*14x-5=72795

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Solution for 13x*14x-5=72795 equation:



13x*14x-5=72795
We move all terms to the left:
13x*14x-5-(72795)=0
We add all the numbers together, and all the variables
13x*14x-72800=0
Wy multiply elements
182x^2-72800=0
a = 182; b = 0; c = -72800;
Δ = b2-4ac
Δ = 02-4·182·(-72800)
Δ = 52998400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{52998400}=7280$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-7280}{2*182}=\frac{-7280}{364} =-20 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+7280}{2*182}=\frac{7280}{364} =20 $

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