400(x*x)=1296

Solution for 400(x*x)=1296 equation:

400(x*x)=1296

We move all terms to the left:

400(x*x)-(1296)=0

We add all the numbers together, and all the variables

400(+x*x)-1296=0

We multiply parentheses

400x^2-1296=0

a = 400; b = 0; c = -1296;
Δ = b2-4ac
Δ = 02-4·400·(-1296)
Δ = 2073600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2073600}=1440$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-1440}{2*400}=\frac{-1440}{800}
=-1+4/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+1440}{2*400}=\frac{1440}{800}
=1+4/5
$