a^2+6.5^2=9.9^2

Solution for a^2+6.5^2=9.9^2 equation:

a^2+6.5^2=9.9^2

We move all terms to the left:

a^2+6.5^2-(9.9^2)=0

We add all the numbers together, and all the variables

a^2-55.76=0

a = 1; b = 0; c = -55.76;
Δ = b2-4ac
Δ = 02-4·1·(-55.76)
Δ = 223.04
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{223.04}}{2*1}=\frac{0-\sqrt{223.04}}{2}
=-\frac{\sqrt{}}{2}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{223.04}}{2*1}=\frac{0+\sqrt{223.04}}{2}
=\frac{\sqrt{}}{2}
$