301=b2

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Solution for 301=b2 equation:



301=b2
We move all terms to the left:
301-(b2)=0
We add all the numbers together, and all the variables
-1b^2+301=0
a = -1; b = 0; c = +301;
Δ = b2-4ac
Δ = 02-4·(-1)·301
Δ = 1204
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{1204}=\sqrt{4*301}=\sqrt{4}*\sqrt{301}=2\sqrt{301}$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{301}}{2*-1}=\frac{0-2\sqrt{301}}{-2} =-\frac{2\sqrt{301}}{-2} =-\frac{\sqrt{301}}{-1} $
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{301}}{2*-1}=\frac{0+2\sqrt{301}}{-2} =\frac{2\sqrt{301}}{-2} =\frac{\sqrt{301}}{-1} $

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