X2+3x-179=0

Solution for X2+3x-179=0 equation:

X2+3X-179=0

We add all the numbers together, and all the variables

X^2+3X-179=0

a = 1; b = 3; c = -179;
Δ = b2-4ac
Δ = 32-4·1·(-179)
Δ = 725
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:

$\sqrt{\Delta}=\sqrt{725}=\sqrt{25*29}=\sqrt{25}*\sqrt{29}=5\sqrt{29}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-5\sqrt{29}}{2*1}=\frac{-3-5\sqrt{29}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+5\sqrt{29}}{2*1}=\frac{-3+5\sqrt{29}}{2}
$