d2+47d=0

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Solution for d2+47d=0 equation:



d2+47d=0
We add all the numbers together, and all the variables
d^2+47d=0
a = 1; b = 47; c = 0;
Δ = b2-4ac
Δ = 472-4·1·0
Δ = 2209
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2209}=47$
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(47)-47}{2*1}=\frac{-94}{2} =-47 $
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(47)+47}{2*1}=\frac{0}{2} =0 $

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