2.89*x^2=11.56

Solution for 2.89*x^2=11.56 equation:

2.89*x^2=11.56

We move all terms to the left:

2.89*x^2-(11.56)=0

We add all the numbers together, and all the variables

2.89x^2-11.56=0

a = 2.89; b = 0; c = -11.56;
Δ = b2-4ac
Δ = 02-4·2.89·(-11.56)
Δ = 133.6336
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{133.6336}}{2*2.89}=\frac{0-\sqrt{133.6336}}{5.78}
=-\frac{\sqrt{}}{5.78}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{133.6336}}{2*2.89}=\frac{0+\sqrt{133.6336}}{5.78}
=\frac{\sqrt{}}{5.78}
$