26a(2)=264

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Solution for 26a(2)=264 equation:



26a(2)=264
We move all terms to the left:
26a(2)-(264)=0
We add all the numbers together, and all the variables
26a^2-264=0
a = 26; b = 0; c = -264;
Δ = b2-4ac
Δ = 02-4·26·(-264)
Δ = 27456
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{27456}=\sqrt{64*429}=\sqrt{64}*\sqrt{429}=8\sqrt{429}$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{429}}{2*26}=\frac{0-8\sqrt{429}}{52} =-\frac{8\sqrt{429}}{52} =-\frac{2\sqrt{429}}{13} $
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{429}}{2*26}=\frac{0+8\sqrt{429}}{52} =\frac{8\sqrt{429}}{52} =\frac{2\sqrt{429}}{13} $

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