X2=225-(x-81)

Solution for X2=225-(x-81) equation:

X2=225-(X-81)

We move all terms to the left:

X2-(225-(X-81))=0

We add all the numbers together, and all the variables

X^2-(225-(X-81))=0


We calculate terms in parentheses: -(225-(X-81)), so:

225-(X-81)

determiningTheFunctionDomain
-(X-81)+225

We get rid of parentheses

-X+81+225

We add all the numbers together, and all the variables

-1X+306

Back to the equation:

-(-1X+306)


We get rid of parentheses

X^2+1X-306=0

We add all the numbers together, and all the variables

X^2+X-306=0

a = 1; b = 1; c = -306;
Δ = b2-4ac
Δ = 12-4·1·(-306)
Δ = 1225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1225}=35$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-35}{2*1}=\frac{-36}{2}
=-18
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+35}{2*1}=\frac{34}{2}
=17
$