X2+68x-1265=0

Solution for X2+68x-1265=0 equation:

X2+68X-1265=0

We add all the numbers together, and all the variables

X^2+68X-1265=0

a = 1; b = 68; c = -1265;
Δ = b2-4ac
Δ = 682-4·1·(-1265)
Δ = 9684
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{9684}=\sqrt{36*269}=\sqrt{36}*\sqrt{269}=6\sqrt{269}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(68)-6\sqrt{269}}{2*1}=\frac{-68-6\sqrt{269}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(68)+6\sqrt{269}}{2*1}=\frac{-68+6\sqrt{269}}{2}
$