x2-29x-602=0

Solution for x2-29x-602=0 equation:

x2-29x-602=0

We add all the numbers together, and all the variables

x^2-29x-602=0

a = 1; b = -29; c = -602;
Δ = b2-4ac
Δ = -292-4·1·(-602)
Δ = 3249
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3249}=57$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-29)-57}{2*1}=\frac{-28}{2}
=-14
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-29)+57}{2*1}=\frac{86}{2}
=43
$