26x2=264

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Solution for 26x2=264 equation:



26x^2=264
We move all terms to the left:
26x^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:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{27456}=\sqrt{64*429}=\sqrt{64}*\sqrt{429}=8\sqrt{429}$
$x_{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} $
$x_{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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