x+11/8x=3800

Solution for x+11/8x=3800 equation:

x+11/8x=3800

We move all terms to the left:

x+11/8x-(3800)=0


Domain of the equation: 8x!=0

x!=0/8

x!=0

x∈R


We multiply all the terms by the denominator


x*8x-3800*8x+11=0

Wy multiply elements

8x^2-30400x+11=0

a = 8; b = -30400; c = +11;
Δ = b2-4ac
Δ = -304002-4·8·11
Δ = 924159648
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:

$\sqrt{\Delta}=\sqrt{924159648}=\sqrt{16*57759978}=\sqrt{16}*\sqrt{57759978}=4\sqrt{57759978}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30400)-4\sqrt{57759978}}{2*8}=\frac{30400-4\sqrt{57759978}}{16}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30400)+4\sqrt{57759978}}{2*8}=\frac{30400+4\sqrt{57759978}}{16}
$