9=1/4h2

Solution for 9=1/4h2 equation:

9=1/4h^2

We move all terms to the left:

9-(1/4h^2)=0


Domain of the equation: 4h^2)!=0

h!=0/1

h!=0

h∈R


We get rid of parentheses

-1/4h^2+9=0

We multiply all the terms by the denominator


9*4h^2-1=0

Wy multiply elements

36h^2-1=0

a = 36; b = 0; c = -1;
Δ = b2-4ac
Δ = 02-4·36·(-1)
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12}{2*36}=\frac{-12}{72}
=-1/6
$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12}{2*36}=\frac{12}{72}
=1/6
$