a^2+8.5^2=89

Solution for a^2+8.5^2=89 equation:

a^2+8.5^2=89

We move all terms to the left:

a^2+8.5^2-(89)=0

determiningTheFunctionDomain
a^2-89+8.5^2=0

We add all the numbers together, and all the variables

a^2-16.75=0

a = 1; b = 0; c = -16.75;
Δ = b2-4ac
Δ = 02-4·1·(-16.75)
Δ = 67
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{67}}{2*1}=\frac{0-\sqrt{67}}{2}
=-\frac{\sqrt{}}{2}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{67}}{2*1}=\frac{0+\sqrt{67}}{2}
=\frac{\sqrt{}}{2}
$