7n2=448

Solution for 7n2=448 equation:

7n^2=448

We move all terms to the left:

7n^2-(448)=0

a = 7; b = 0; c = -448;
Δ = b2-4ac
Δ = 02-4·7·(-448)
Δ = 12544
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{12544}=112$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-112}{2*7}=\frac{-112}{14}
=-8
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+112}{2*7}=\frac{112}{14}
=8
$