X2=9(x-2)

Solution for X2=9(x-2) equation:

X2=9(X-2)

We move all terms to the left:

X2-(9(X-2))=0

We add all the numbers together, and all the variables

X^2-(9(X-2))=0


We calculate terms in parentheses: -(9(X-2)), so:

9(X-2)

We multiply parentheses

9X-18

Back to the equation:

-(9X-18)


We get rid of parentheses

X^2-9X+18=0

a = 1; b = -9; c = +18;
Δ = b2-4ac
Δ = -92-4·1·18
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-9)-3}{2*1}=\frac{6}{2}
=3
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9)+3}{2*1}=\frac{12}{2}
=6
$