5d^2-5=1085

Solution for 5d^2-5=1085 equation:

5d^2-5=1085

We move all terms to the left:

5d^2-5-(1085)=0

We add all the numbers together, and all the variables

5d^2-1090=0

a = 5; b = 0; c = -1090;
Δ = b2-4ac
Δ = 02-4·5·(-1090)
Δ = 21800
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{21800}=\sqrt{100*218}=\sqrt{100}*\sqrt{218}=10\sqrt{218}$
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{218}}{2*5}=\frac{0-10\sqrt{218}}{10}
=-\frac{10\sqrt{218}}{10}
=-\sqrt{218}
$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{218}}{2*5}=\frac{0+10\sqrt{218}}{10}
=\frac{10\sqrt{218}}{10}
=\sqrt{218}
$