5x*5x=x

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Solution for 5x*5x=x equation:



5x*5x=x
We move all terms to the left:
5x*5x-(x)=0
We add all the numbers together, and all the variables
-1x+5x*5x=0
Wy multiply elements
25x^2-1x=0
a = 25; b = -1; c = 0;
Δ = b2-4ac
Δ = -12-4·25·0
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*25}=\frac{0}{50} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+1}{2*25}=\frac{2}{50} =1/25 $

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