x2+x-14762=0

Solution for x2+x-14762=0 equation:

x2+x-14762=0

We add all the numbers together, and all the variables

x^2+x-14762=0

a = 1; b = 1; c = -14762;
Δ = b2-4ac
Δ = 12-4·1·(-14762)
Δ = 59049
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{59049}=243$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-243}{2*1}=\frac{-244}{2}
=-122
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+243}{2*1}=\frac{242}{2}
=121
$