x2+23x+76=0

Solution for x2+23x+76=0 equation:

x2+23x+76=0

We add all the numbers together, and all the variables

x^2+23x+76=0

a = 1; b = 23; c = +76;
Δ = b2-4ac
Δ = 232-4·1·76
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(23)-15}{2*1}=\frac{-38}{2}
=-19
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(23)+15}{2*1}=\frac{-8}{2}
=-4
$