-13x^2-130x-273=0

Solution for -13x^2-130x-273=0 equation:

-13x^2-130x-273=0

a = -13; b = -130; c = -273;
Δ = b2-4ac
Δ = -1302-4·(-13)·(-273)
Δ = 2704
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2704}=52$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-130)-52}{2*-13}=\frac{78}{-26}
=-3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-130)+52}{2*-13}=\frac{182}{-26}
=-7
$