X/64x^2-9=0

Solution for X/64x^2-9=0 equation:

X/64X^2-9=0


Domain of the equation: 64X^2!=0

X^2!=0/64

X^2!=√0

X!=0

X∈R


We multiply all the terms by the denominator


X-9*64X^2=0

Wy multiply elements

-576X^2+X=0

a = -576; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·(-576)·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*-576}=\frac{-2}{-1152}
=1/576
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*-576}=\frac{0}{-1152}
=0
$