7x2=1792

Solution for 7x2=1792 equation:

7x^2=1792

We move all terms to the left:

7x^2-(1792)=0

a = 7; b = 0; c = -1792;
Δ = b2-4ac
Δ = 02-4·7·(-1792)
Δ = 50176
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{50176}=224$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-224}{2*7}=\frac{-224}{14}
=-16
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+224}{2*7}=\frac{224}{14}
=16
$