29x^2-58x-846=0

Solution for 29x^2-58x-846=0 equation:

29x^2-58x-846=0

a = 29; b = -58; c = -846;
Δ = b2-4ac
Δ = -582-4·29·(-846)
Δ = 101500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{101500}=\sqrt{100*1015}=\sqrt{100}*\sqrt{1015}=10\sqrt{1015}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-58)-10\sqrt{1015}}{2*29}=\frac{58-10\sqrt{1015}}{58}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-58)+10\sqrt{1015}}{2*29}=\frac{58+10\sqrt{1015}}{58}
$