4x*3x=1024

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Solution for 4x*3x=1024 equation:



4x*3x=1024
We move all terms to the left:
4x*3x-(1024)=0
Wy multiply elements
12x^2-1024=0
a = 12; b = 0; c = -1024;
Δ = b2-4ac
Δ = 02-4·12·(-1024)
Δ = 49152
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:
$\sqrt{\Delta}=\sqrt{49152}=\sqrt{16384*3}=\sqrt{16384}*\sqrt{3}=128\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-128\sqrt{3}}{2*12}=\frac{0-128\sqrt{3}}{24} =-\frac{128\sqrt{3}}{24} =-\frac{16\sqrt{3}}{3} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+128\sqrt{3}}{2*12}=\frac{0+128\sqrt{3}}{24} =\frac{128\sqrt{3}}{24} =\frac{16\sqrt{3}}{3} $

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