490=b+(2*b)2

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Solution for 490=b+(2*b)2 equation:



490=b+(2b)2
We move all terms to the left:
490-(b+(2b)2)=0
We add all the numbers together, and all the variables
-(+b+2b^2)+490=0
We get rid of parentheses
-2b^2-b+490=0
We add all the numbers together, and all the variables
-2b^2-1b+490=0
a = -2; b = -1; c = +490;
Δ = b2-4ac
Δ = -12-4·(-2)·490
Δ = 3921
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-\sqrt{3921}}{2*-2}=\frac{1-\sqrt{3921}}{-4} $
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{3921}}{2*-2}=\frac{1+\sqrt{3921}}{-4} $

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