5.5+b(2)=12.9

Solution for 5.5+b(2)=12.9 equation:

5.5+b(2)=12.9

We move all terms to the left:

5.5+b(2)-(12.9)=0

We add all the numbers together, and all the variables

b^2-7.4=0

a = 1; b = 0; c = -7.4;
Δ = b2-4ac
Δ = 02-4·1·(-7.4)
Δ = 29.6
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{29.6}}{2*1}=\frac{0-\sqrt{29.6}}{2}
=-\frac{\sqrt{}}{2}
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{29.6}}{2*1}=\frac{0+\sqrt{29.6}}{2}
=\frac{\sqrt{}}{2}
$