7x2-136x-768=0

Solution for 7x2-136x-768=0 equation:

7x^2-136x-768=0

a = 7; b = -136; c = -768;
Δ = b2-4ac
Δ = -1362-4·7·(-768)
Δ = 40000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{40000}=200$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-136)-200}{2*7}=\frac{-64}{14}
=-4+4/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-136)+200}{2*7}=\frac{336}{14}
=24
$