7x2=3388

Solution for 7x2=3388 equation:

7x^2=3388

We move all terms to the left:

7x^2-(3388)=0

a = 7; b = 0; c = -3388;
Δ = b2-4ac
Δ = 02-4·7·(-3388)
Δ = 94864
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{94864}=308$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-308}{2*7}=\frac{-308}{14}
=-22
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+308}{2*7}=\frac{308}{14}
=22
$