x^2+68x-1344=0

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Solution for x^2+68x-1344=0 equation:



x^2+68x-1344=0
a = 1; b = 68; c = -1344;
Δ = b2-4ac
Δ = 682-4·1·(-1344)
Δ = 10000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10000}=100$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(68)-100}{2*1}=\frac{-168}{2} =-84 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(68)+100}{2*1}=\frac{32}{2} =16 $

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