x^2+2.56x^2=22^2

Solution for x^2+2.56x^2=22^2 equation:

x^2+2.56x^2=22^2

We move all terms to the left:

x^2+2.56x^2-(22^2)=0

We add all the numbers together, and all the variables

3.56x^2-484=0

a = 3.56; b = 0; c = -484;
Δ = b2-4ac
Δ = 02-4·3.56·(-484)
Δ = 6892.16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{6892.16}}{2*3.56}=\frac{0-\sqrt{6892.16}}{7.12}
=-\frac{\sqrt{}}{7.12}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{6892.16}}{2*3.56}=\frac{0+\sqrt{6892.16}}{7.12}
=\frac{\sqrt{}}{7.12}
$