(1/4)k=8.25

Solution for (1/4)k=8.25 equation:

(1/4)k=8.25

We move all terms to the left:

(1/4)k-(8.25)=0


Domain of the equation: 4)k!=0

k!=0/1

k!=0

k∈R


We add all the numbers together, and all the variables

(+1/4)k-(8.25)=0

We add all the numbers together, and all the variables

(+1/4)k-8.25=0

We multiply parentheses

k^2-8.25=0

a = 1; b = 0; c = -8.25;
Δ = b2-4ac
Δ = 02-4·1·(-8.25)
Δ = 33
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{33}}{2*1}=\frac{0-\sqrt{33}}{2}
=-\frac{\sqrt{}}{2}
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{33}}{2*1}=\frac{0+\sqrt{33}}{2}
=\frac{\sqrt{}}{2}
$