13x(14x-5)=180

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Solution for 13x(14x-5)=180 equation:



13x(14x-5)=180
We move all terms to the left:
13x(14x-5)-(180)=0
We multiply parentheses
182x^2-65x-180=0
a = 182; b = -65; c = -180;
Δ = b2-4ac
Δ = -652-4·182·(-180)
Δ = 135265
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{-(-65)-\sqrt{135265}}{2*182}=\frac{65-\sqrt{135265}}{364} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-65)+\sqrt{135265}}{2*182}=\frac{65+\sqrt{135265}}{364} $

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