x^2*1/4x=1024

Solution for x^2*1/4x=1024 equation:

x^2*1/4x=1024

We move all terms to the left:

x^2*1/4x-(1024)=0


Domain of the equation: 4x!=0

x!=0/4

x!=0

x∈R


We multiply all the terms by the denominator


x^2*1-1024*4x=0

Wy multiply elements

x^2-4096x=0

a = 1; b = -4096; c = 0;
Δ = b2-4ac
Δ = -40962-4·1·0
Δ = 16777216
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16777216}=4096$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4096)-4096}{2*1}=\frac{0}{2}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4096)+4096}{2*1}=\frac{8192}{2}
=4096
$