X2-37x-342=0

Solution for X2-37x-342=0 equation:

X2-37X-342=0

We add all the numbers together, and all the variables

X^2-37X-342=0

a = 1; b = -37; c = -342;
Δ = b2-4ac
Δ = -372-4·1·(-342)
Δ = 2737
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-37)-\sqrt{2737}}{2*1}=\frac{37-\sqrt{2737}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-37)+\sqrt{2737}}{2*1}=\frac{37+\sqrt{2737}}{2}
$