9/2x^2-72=0

Solution for 9/2x^2-72=0 equation:

9/2x^2-72=0


Domain of the equation: 2x^2!=0

x^2!=0/2

x^2!=√0

x!=0

x∈R


We multiply all the terms by the denominator


-72*2x^2+9=0

Wy multiply elements

-144x^2+9=0

a = -144; b = 0; c = +9;
Δ = b2-4ac
Δ = 02-4·(-144)·9
Δ = 5184
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5184}=72$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-72}{2*-144}=\frac{-72}{-288}
=1/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+72}{2*-144}=\frac{72}{-288}
=-1/4
$