0.25x^2=9

Solution for 0.25x^2=9 equation:

0.25x^2=9

We move all terms to the left:

0.25x^2-(9)=0

a = 0.25; b = 0; c = -9;
Δ = b2-4ac
Δ = 02-4·0.25·(-9)
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-3}{2*0.25}=\frac{-3}{0.5}
=-6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+3}{2*0.25}=\frac{3}{0.5}
=6
$