5x*4x=3000000

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Solution for 5x*4x=3000000 equation:



5x*4x=3000000
We move all terms to the left:
5x*4x-(3000000)=0
Wy multiply elements
20x^2-3000000=0
a = 20; b = 0; c = -3000000;
Δ = b2-4ac
Δ = 02-4·20·(-3000000)
Δ = 240000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{240000000}=\sqrt{16000000*15}=\sqrt{16000000}*\sqrt{15}=4000\sqrt{15}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4000\sqrt{15}}{2*20}=\frac{0-4000\sqrt{15}}{40} =-\frac{4000\sqrt{15}}{40} =-100\sqrt{15} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4000\sqrt{15}}{2*20}=\frac{0+4000\sqrt{15}}{40} =\frac{4000\sqrt{15}}{40} =100\sqrt{15} $

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