D^3+4d^2-25d-100=0

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Solution for D^3+4d^2-25d-100=0 equation:



^3+4D^2-25D-100=0
We add all the numbers together, and all the variables
4D^2-25D=0
a = 4; b = -25; c = 0;
Δ = b2-4ac
Δ = -252-4·4·0
Δ = 625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$D_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$D_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{625}=25$
$D_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-25)-25}{2*4}=\frac{0}{8} =0 $
$D_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25)+25}{2*4}=\frac{50}{8} =6+1/4 $

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