x^2+5.9x^2=1156

Solution for x^2+5.9x^2=1156 equation:

x^2+5.9x^2=1156

We move all terms to the left:

x^2+5.9x^2-(1156)=0

We add all the numbers together, and all the variables

6.9x^2-1156=0

a = 6.9; b = 0; c = -1156;
Δ = b2-4ac
Δ = 02-4·6.9·(-1156)
Δ = 31905.6
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{31905.6}}{2*6.9}=\frac{0-\sqrt{31905.6}}{13.8}
=-\frac{\sqrt{}}{13.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{31905.6}}{2*6.9}=\frac{0+\sqrt{31905.6}}{13.8}
=\frac{\sqrt{}}{13.8}
$