9.5=2.2+1.05x(x-2.2)

Solution for 9.5=2.2+1.05x(x-2.2) equation:

9.5=2.2+1.05x(x-2.2)

We move all terms to the left:

9.5-(2.2+1.05x(x-2.2))=0


We calculate terms in parentheses: -(2.2+1.05x(x-2.2)), so:

2.2+1.05x(x-2.2)

determiningTheFunctionDomain
1.05x(x-2.2)+2.2

We multiply parentheses

x^2-2.2x+2.2

Back to the equation:

-(x^2-2.2x+2.2)


We get rid of parentheses

-x^2+2.2x-2.2+9.5=0

We add all the numbers together, and all the variables

-1x^2+2.2x+7.3=0

a = -1; b = 2.2; c = +7.3;
Δ = b2-4ac
Δ = 2.22-4·(-1)·7.3
Δ = 34.04
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2.2)-\sqrt{34.04}}{2*-1}=\frac{-2.2-\sqrt{34.04}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2.2)+\sqrt{34.04}}{2*-1}=\frac{-2.2+\sqrt{34.04}}{-2}
$