x2=225,x

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Solution for x2=225,x equation:



x2=225.x
We move all terms to the left:
x2-(225.x)=0
We add all the numbers together, and all the variables
x2-(+225.x)=0
We add all the numbers together, and all the variables
x^2-(+225.x)=0
We get rid of parentheses
x^2-225.x=0
We add all the numbers together, and all the variables
x^2-225x=0
a = 1; b = -225; c = 0;
Δ = b2-4ac
Δ = -2252-4·1·0
Δ = 50625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{50625}=225$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-225)-225}{2*1}=\frac{0}{2} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-225)+225}{2*1}=\frac{450}{2} =225 $

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