0.25d^2=7

Solution for 0.25d^2=7 equation:

0.25d^2=7

We move all terms to the left:

0.25d^2-(7)=0

a = 0.25; b = 0; c = -7;
Δ = b2-4ac
Δ = 02-4·0.25·(-7)
Δ = 7
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{7}}{2*0.25}=\frac{0-\sqrt{7}}{0.5}
=-\frac{\sqrt{}}{0.5}
$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{7}}{2*0.25}=\frac{0+\sqrt{7}}{0.5}
=\frac{\sqrt{}}{0.5}
$