7n^2-58n+63=0

Solution for 7n^2-58n+63=0 equation:

7n^2-58n+63=0

a = 7; b = -58; c = +63;
Δ = b2-4ac
Δ = -582-4·7·63
Δ = 1600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1600}=40$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-58)-40}{2*7}=\frac{18}{14}
=1+2/7
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-58)+40}{2*7}=\frac{98}{14}
=7
$