5,92=2,025*x^2

Solution for 5,92=2,025*x^2 equation:

5.92=2.025*x^2

We move all terms to the left:

5.92-(2.025*x^2)=0

We get rid of parentheses

-2.025*x^2+5.92=0

We add all the numbers together, and all the variables

-2.025x^2+5.92=0

a = -2.025; b = 0; c = +5.92;
Δ = b2-4ac
Δ = 02-4·(-2.025)·5.92
Δ = 47.952
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{47.952}}{2*-2.025}=\frac{0-\sqrt{47.952}}{-4.05}
=-\frac{\sqrt{}}{-4.05}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{47.952}}{2*-2.025}=\frac{0+\sqrt{47.952}}{-4.05}
=\frac{\sqrt{}}{-4.05}
$