X^2+37x-78=0

Solution for X^2+37x-78=0 equation:

X^2+37X-78=0

a = 1; b = 37; c = -78;
Δ = b2-4ac
Δ = 372-4·1·(-78)
Δ = 1681
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1681}=41$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(37)-41}{2*1}=\frac{-78}{2}
=-39
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(37)+41}{2*1}=\frac{4}{2}
=2
$