d2-35=-2d

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Solution for d2-35=-2d equation:



d2-35=-2d
We move all terms to the left:
d2-35-(-2d)=0
We add all the numbers together, and all the variables
d^2-(-2d)-35=0
We get rid of parentheses
d^2+2d-35=0
a = 1; b = 2; c = -35;
Δ = b2-4ac
Δ = 22-4·1·(-35)
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-12}{2*1}=\frac{-14}{2} =-7 $
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+12}{2*1}=\frac{10}{2} =5 $

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