5x^2-(3.3+2)x+(7.3-5)=22

Solution for 5x^2-(3.3+2)x+(7.3-5)=22 equation:

5x^2-(3.3+2)x+(7.3-5)=22

We move all terms to the left:

5x^2-(3.3+2)x+(7.3-5)-(22)=0

determiningTheFunctionDomain
5x^2-(3.3+2)x-22+(7.3-5)=0

We add all the numbers together, and all the variables

5x^2-(5.3)x-22+(2.3)=0

We add all the numbers together, and all the variables

5x^2-(5.3)x-19.7=0

We multiply parentheses

5x^2-5.3x-19.7=0

a = 5; b = -5.3; c = -19.7;
Δ = b2-4ac
Δ = -5.32-4·5·(-19.7)
Δ = 422.09
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{-(-5.3)-\sqrt{422.09}}{2*5}=\frac{5.3-\sqrt{422.09}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5.3)+\sqrt{422.09}}{2*5}=\frac{5.3+\sqrt{422.09}}{10}
$