2*a*0.4*B=50

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Solution for 2*a*0.4*B=50 equation:



2a*0.4*=50
We move all terms to the left:
2a*0.4*-(50)=0
Wy multiply elements
0.8a^2-50=0
a = 0.8; b = 0; c = -50;
Δ = b2-4ac
Δ = 02-4·0.8·(-50)
Δ = 160
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{160}=\sqrt{16*10}=\sqrt{16}*\sqrt{10}=4\sqrt{10}$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{10}}{2*0.8}=\frac{0-4\sqrt{10}}{1.6} =-\frac{4\sqrt{10}}{1.6} $
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{10}}{2*0.8}=\frac{0+4\sqrt{10}}{1.6} =\frac{4\sqrt{10}}{1.6} $

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