16x*16x=25

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Solution for 16x*16x=25 equation:



16x*16x=25
We move all terms to the left:
16x*16x-(25)=0
Wy multiply elements
256x^2-25=0
a = 256; b = 0; c = -25;
Δ = b2-4ac
Δ = 02-4·256·(-25)
Δ = 25600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25600}=160$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-160}{2*256}=\frac{-160}{512} =-5/16 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+160}{2*256}=\frac{160}{512} =5/16 $

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