a^2-71738a-143480=0

Solution for a^2-71738a-143480=0 equation:

a^2-71738a-143480=0

a = 1; b = -71738; c = -143480;
Δ = b2-4ac
Δ = -717382-4·1·(-143480)
Δ = 5146914564
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5146914564}=71742$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-71738)-71742}{2*1}=\frac{-4}{2}
=-2
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-71738)+71742}{2*1}=\frac{143480}{2}
=71740
$