A2+B2+c2=149

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Solution for A2+B2+c2=149 equation:



2+2+A2=149
We move all terms to the left:
2+2+A2-(149)=0
We add all the numbers together, and all the variables
A^2-145=0
a = 1; b = 0; c = -145;
Δ = b2-4ac
Δ = 02-4·1·(-145)
Δ = 580
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$A_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$A_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{580}=\sqrt{4*145}=\sqrt{4}*\sqrt{145}=2\sqrt{145}$
$A_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{145}}{2*1}=\frac{0-2\sqrt{145}}{2} =-\frac{2\sqrt{145}}{2} =-\sqrt{145} $
$A_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{145}}{2*1}=\frac{0+2\sqrt{145}}{2} =\frac{2\sqrt{145}}{2} =\sqrt{145} $

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