5x^2-25x-2730=0

Solution for 5x^2-25x-2730=0 equation:

5x^2-25x-2730=0

a = 5; b = -25; c = -2730;
Δ = b2-4ac
Δ = -252-4·5·(-2730)
Δ = 55225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{55225}=235$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-25)-235}{2*5}=\frac{-210}{10}
=-21
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25)+235}{2*5}=\frac{260}{10}
=26
$