5x*5x=25x

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Solution for 5x*5x=25x equation:



5x*5x=25x
We move all terms to the left:
5x*5x-(25x)=0
We add all the numbers together, and all the variables
-25x+5x*5x=0
Wy multiply elements
25x^2-25x=0
a = 25; b = -25; c = 0;
Δ = b2-4ac
Δ = -252-4·25·0
Δ = 625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{625}=25$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-25)-25}{2*25}=\frac{0}{50} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25)+25}{2*25}=\frac{50}{50} =1 $

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