9-(9x^2/4)=0

Solution for 9-(9x^2/4)=0 equation:

9-(9x^2/4)=0

We get rid of parentheses

-9x^2/4+9=0

We multiply all the terms by the denominator


-9x^2+9*4=0

We add all the numbers together, and all the variables

-9x^2+36=0

a = -9; b = 0; c = +36;
Δ = b2-4ac
Δ = 02-4·(-9)·36
Δ = 1296
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1296}=36$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-36}{2*-9}=\frac{-36}{-18}
=+2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+36}{2*-9}=\frac{36}{-18}
=-2
$