4x^2/2x=50

Solution for 4x^2/2x=50 equation:

4x^2/2x=50

We move all terms to the left:

4x^2/2x-(50)=0


Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R


We multiply all the terms by the denominator


4x^2-50*2x=0

Wy multiply elements

4x^2-100x=0

a = 4; b = -100; c = 0;
Δ = b2-4ac
Δ = -1002-4·4·0
Δ = 10000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10000}=100$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-100)-100}{2*4}=\frac{0}{8}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-100)+100}{2*4}=\frac{200}{8}
=25
$