120d^2=1.89

Solution for 120d^2=1.89 equation:

120d^2=1.89

We move all terms to the left:

120d^2-(1.89)=0

We add all the numbers together, and all the variables

120d^2-1.89=0

a = 120; b = 0; c = -1.89;
Δ = b2-4ac
Δ = 02-4·120·(-1.89)
Δ = 907.2
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{907.2}}{2*120}=\frac{0-\sqrt{907.2}}{240}
=-\frac{\sqrt{}}{240}
$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{907.2}}{2*120}=\frac{0+\sqrt{907.2}}{240}
=\frac{\sqrt{}}{240}
$