X^2-3x-754=0

Solution for X^2-3x-754=0 equation:

X^2-3X-754=0

a = 1; b = -3; c = -754;
Δ = b2-4ac
Δ = -32-4·1·(-754)
Δ = 3025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3025}=55$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-55}{2*1}=\frac{-52}{2}
=-26
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+55}{2*1}=\frac{58}{2}
=29
$