(51/50)x=12500

Solution for (51/50)x=12500 equation:

(51/50)x=12500

We move all terms to the left:

(51/50)x-(12500)=0


Domain of the equation: 50)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+51/50)x-12500=0

We multiply parentheses

51x^2-12500=0

a = 51; b = 0; c = -12500;
Δ = b2-4ac
Δ = 02-4·51·(-12500)
Δ = 2550000
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:

$\sqrt{\Delta}=\sqrt{2550000}=\sqrt{10000*255}=\sqrt{10000}*\sqrt{255}=100\sqrt{255}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-100\sqrt{255}}{2*51}=\frac{0-100\sqrt{255}}{102}
=-\frac{100\sqrt{255}}{102}
=-\frac{50\sqrt{255}}{51}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+100\sqrt{255}}{2*51}=\frac{0+100\sqrt{255}}{102}
=\frac{100\sqrt{255}}{102}
=\frac{50\sqrt{255}}{51}
$