28n^2-176n+48=0

Solution for 28n^2-176n+48=0 equation:

28n^2-176n+48=0

a = 28; b = -176; c = +48;
Δ = b2-4ac
Δ = -1762-4·28·48
Δ = 25600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25600}=160$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-176)-160}{2*28}=\frac{16}{56}
=2/7
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-176)+160}{2*28}=\frac{336}{56}
=6
$