1.34d^2-1.1d=1.02

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Solution for 1.34d^2-1.1d=1.02 equation:



1.34d^2-1.1d=1.02
We move all terms to the left:
1.34d^2-1.1d-(1.02)=0
We add all the numbers together, and all the variables
1.34d^2-1.1d-1.02=0
a = 1.34; b = -1.1; c = -1.02;
Δ = b2-4ac
Δ = -1.12-4·1.34·(-1.02)
Δ = 6.6772
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1.1)-\sqrt{6.6772}}{2*1.34}=\frac{1.1-\sqrt{6.6772}}{2.68} $
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.1)+\sqrt{6.6772}}{2*1.34}=\frac{1.1+\sqrt{6.6772}}{2.68} $

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