5x^2-81x-162=0

Solution for 5x^2-81x-162=0 equation:

5x^2-81x-162=0

a = 5; b = -81; c = -162;
Δ = b2-4ac
Δ = -812-4·5·(-162)
Δ = 9801
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9801}=99$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-81)-99}{2*5}=\frac{-18}{10}
=-1+4/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-81)+99}{2*5}=\frac{180}{10}
=18
$