5x^2=6.5

Solution for 5x^2=6.5 equation:

5x^2=6.5

We move all terms to the left:

5x^2-(6.5)=0

We add all the numbers together, and all the variables

5x^2-6.5=0

a = 5; b = 0; c = -6.5;
Δ = b2-4ac
Δ = 02-4·5·(-6.5)
Δ = 130
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{130}}{2*5}=\frac{0-\sqrt{130}}{10}
=-\frac{\sqrt{}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{130}}{2*5}=\frac{0+\sqrt{130}}{10}
=\frac{\sqrt{}}{10}
$