13x(3x-9)=59

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Solution for 13x(3x-9)=59 equation:



13x(3x-9)=59
We move all terms to the left:
13x(3x-9)-(59)=0
We multiply parentheses
39x^2-117x-59=0
a = 39; b = -117; c = -59;
Δ = b2-4ac
Δ = -1172-4·39·(-59)
Δ = 22893
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{-(-117)-\sqrt{22893}}{2*39}=\frac{117-\sqrt{22893}}{78} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-117)+\sqrt{22893}}{2*39}=\frac{117+\sqrt{22893}}{78} $

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