68*68+b*b=85*85

Solution for 68*68+b*b=85*85 equation:

68*68+b*b=85*85

We move all terms to the left:

68*68+b*b-(85*85)=0

We add all the numbers together, and all the variables

b*b+68*68-7225=0

We add all the numbers together, and all the variables

b*b-2601=0

Wy multiply elements

b^2-2601=0

a = 1; b = 0; c = -2601;
Δ = b2-4ac
Δ = 02-4·1·(-2601)
Δ = 10404
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10404}=102$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-102}{2*1}=\frac{-102}{2}
=-51
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+102}{2*1}=\frac{102}{2}
=51
$