X^2-78x+560=0

Solution for X^2-78x+560=0 equation:

X^2-78X+560=0

a = 1; b = -78; c = +560;
Δ = b2-4ac
Δ = -782-4·1·560
Δ = 3844
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3844}=62$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-78)-62}{2*1}=\frac{16}{2}
=8
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-78)+62}{2*1}=\frac{140}{2}
=70
$