X2/5+x=5+x

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Solution for X2/5+x=5+x equation: 



X2/5+X=5+X

We move all terms to the left:

X2/5+X-(5+X)=0

We add all the numbers together, and all the variables

X2/5+X-(X+5)=0

We add all the numbers together, and all the variables

X+X2/5-(X+5)=0

We get rid of parentheses

X+X2/5-X-5=0

We multiply all the terms by the denominator


X*5+X2-X*5-5*5=0

We add all the numbers together, and all the variables

X^2+X*5-X*5-25=0

Wy multiply elements

X^2+5X-5X-25=0

We add all the numbers together, and all the variables

X^2-25=0

a = 1; b = 0; c = -25;
Δ = b2-4ac
Δ = 02-4·1·(-25)
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$


$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10}{2*1}=\frac{-10}{2}
=-5
$


$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10}{2*1}=\frac{10}{2}
=5
$

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