2x^2=12.50

Solution for 2x^2=12.50 equation:

2x^2=12.50

We move all terms to the left:

2x^2-(12.50)=0

We add all the numbers together, and all the variables

2x^2-(12.5)=0

We add all the numbers together, and all the variables

2x^2-12.5=0

a = 2; b = 0; c = -12.5;
Δ = b2-4ac
Δ = 02-4·2·(-12.5)
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10}{2*2}=\frac{-10}{4}
=-2+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10}{2*2}=\frac{10}{4}
=2+1/2
$