1=0.9375k^2

Solution for 1=0.9375k^2 equation:

1=0.9375k^2

We move all terms to the left:

1-(0.9375k^2)=0

We get rid of parentheses

-0.9375k^2+1=0

a = -0.9375; b = 0; c = +1;
Δ = b2-4ac
Δ = 02-4·(-0.9375)·1
Δ = 3.75
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{3.75}}{2*-0.9375}=\frac{0-\sqrt{3.75}}{-1.875}
=-\frac{\sqrt{}}{-1.875}
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{3.75}}{2*-0.9375}=\frac{0+\sqrt{3.75}}{-1.875}
=\frac{\sqrt{}}{-1.875}
$