1.5=k(2.0)

Solution for 1.5=k(2.0) equation:

1.5=k(2.0)

We move all terms to the left:

1.5-(k(2.0))=0

We add all the numbers together, and all the variables

-(k2)+1.5=0

We add all the numbers together, and all the variables

-1k^2+1.5=0

a = -1; b = 0; c = +1.5;
Δ = b2-4ac
Δ = 02-4·(-1)·1.5
Δ = 6
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{6}}{2*-1}=\frac{0-\sqrt{6}}{-2}
=-\frac{\sqrt{}}{-2}
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{6}}{2*-1}=\frac{0+\sqrt{6}}{-2}
=\frac{\sqrt{}}{-2}
$