x2+113x+3136=0

Solution for x2+113x+3136=0 equation:

x2+113x+3136=0

We add all the numbers together, and all the variables

x^2+113x+3136=0

a = 1; b = 113; c = +3136;
Δ = b2-4ac
Δ = 1132-4·1·3136
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(113)-15}{2*1}=\frac{-128}{2}
=-64
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(113)+15}{2*1}=\frac{-98}{2}
=-49
$