5.76x^2+x^2=676

Solution for 5.76x^2+x^2=676 equation:

5.76x^2+x^2=676

We move all terms to the left:

5.76x^2+x^2-(676)=0

We add all the numbers together, and all the variables

6.76x^2-676=0

a = 6.76; b = 0; c = -676;
Δ = b2-4ac
Δ = 02-4·6.76·(-676)
Δ = 18279.04
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{18279.04}}{2*6.76}=\frac{0-\sqrt{18279.04}}{13.52}
=-\frac{\sqrt{}}{13.52}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{18279.04}}{2*6.76}=\frac{0+\sqrt{18279.04}}{13.52}
=\frac{\sqrt{}}{13.52}
$