2.9^2+b^2=4.5^2

Solution for 2.9^2+b^2=4.5^2 equation:

2.9^2+b^2=4.5^2

We move all terms to the left:

2.9^2+b^2-(4.5^2)=0

We add all the numbers together, and all the variables

b^2-11.84=0

a = 1; b = 0; c = -11.84;
Δ = b2-4ac
Δ = 02-4·1·(-11.84)
Δ = 47.36
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{47.36}}{2*1}=\frac{0-\sqrt{47.36}}{2}
=-\frac{\sqrt{}}{2}
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{47.36}}{2*1}=\frac{0+\sqrt{47.36}}{2}
=\frac{\sqrt{}}{2}
$