x^2-34x-152=0

Solution for x^2-34x-152=0 equation:

x^2-34x-152=0

a = 1; b = -34; c = -152;
Δ = b2-4ac
Δ = -342-4·1·(-152)
Δ = 1764
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1764}=42$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-34)-42}{2*1}=\frac{-8}{2}
=-4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-34)+42}{2*1}=\frac{76}{2}
=38
$