2x*5x=435600

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Solution for 2x*5x=435600 equation:



2x*5x=435600
We move all terms to the left:
2x*5x-(435600)=0
Wy multiply elements
10x^2-435600=0
a = 10; b = 0; c = -435600;
Δ = b2-4ac
Δ = 02-4·10·(-435600)
Δ = 17424000
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:
$\sqrt{\Delta}=\sqrt{17424000}=\sqrt{1742400*10}=\sqrt{1742400}*\sqrt{10}=1320\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-1320\sqrt{10}}{2*10}=\frac{0-1320\sqrt{10}}{20} =-\frac{1320\sqrt{10}}{20} =-66\sqrt{10} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+1320\sqrt{10}}{2*10}=\frac{0+1320\sqrt{10}}{20} =\frac{1320\sqrt{10}}{20} =66\sqrt{10} $

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