X+3/8x=122

Solution for X+3/8x=122 equation:

X+3/8X=122

We move all terms to the left:

X+3/8X-(122)=0


Domain of the equation: 8X!=0

X!=0/8

X!=0

X∈R


We multiply all the terms by the denominator


X*8X-122*8X+3=0

Wy multiply elements

8X^2-976X+3=0

a = 8; b = -976; c = +3;
Δ = b2-4ac
Δ = -9762-4·8·3
Δ = 952480
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:

$\sqrt{\Delta}=\sqrt{952480}=\sqrt{16*59530}=\sqrt{16}*\sqrt{59530}=4\sqrt{59530}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-976)-4\sqrt{59530}}{2*8}=\frac{976-4\sqrt{59530}}{16}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-976)+4\sqrt{59530}}{2*8}=\frac{976+4\sqrt{59530}}{16}
$