64u^2-9=0

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Solution for 64u^2-9=0 equation:



64u^2-9=0
a = 64; b = 0; c = -9;
Δ = b2-4ac
Δ = 02-4·64·(-9)
Δ = 2304
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2304}=48$
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-48}{2*64}=\frac{-48}{128} =-3/8 $
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+48}{2*64}=\frac{48}{128} =3/8 $

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