56*56+b*b=70*70

Solution for 56*56+b*b=70*70 equation:

56*56+b*b=70*70

We move all terms to the left:

56*56+b*b-(70*70)=0

We add all the numbers together, and all the variables

b*b+56*56-4900=0

We add all the numbers together, and all the variables

b*b-1764=0

Wy multiply elements

b^2-1764=0

a = 1; b = 0; c = -1764;
Δ = b2-4ac
Δ = 02-4·1·(-1764)
Δ = 7056
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7056}=84$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-84}{2*1}=\frac{-84}{2}
=-42
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+84}{2*1}=\frac{84}{2}
=42
$