55*55+b*b=73*73

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Solution for 55*55+b*b=73*73 equation:



55*55+b*b=73*73
We move all terms to the left:
55*55+b*b-(73*73)=0
We add all the numbers together, and all the variables
b*b+55*55-5329=0
We add all the numbers together, and all the variables
b*b-2304=0
Wy multiply elements
b^2-2304=0
a = 1; b = 0; c = -2304;
Δ = b2-4ac
Δ = 02-4·1·(-2304)
Δ = 9216
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9216}=96$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-96}{2*1}=\frac{-96}{2} =-48 $
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+96}{2*1}=\frac{96}{2} =48 $

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