121/2*x=25

Solution for 121/2*x=25 equation:

121/2*x=25

We move all terms to the left:

121/2*x-(25)=0


Domain of the equation: 2*x!=0

x!=0/1

x!=0

x∈R


We multiply all the terms by the denominator


-25*2*x+121=0

Wy multiply elements

-50x*x+121=0

Wy multiply elements

-50x^2+121=0

a = -50; b = 0; c = +121;
Δ = b2-4ac
Δ = 02-4·(-50)·121
Δ = 24200
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:

$\sqrt{\Delta}=\sqrt{24200}=\sqrt{12100*2}=\sqrt{12100}*\sqrt{2}=110\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-110\sqrt{2}}{2*-50}=\frac{0-110\sqrt{2}}{-100}
=-\frac{110\sqrt{2}}{-100}
=-\frac{11\sqrt{2}}{-10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+110\sqrt{2}}{2*-50}=\frac{0+110\sqrt{2}}{-100}
=\frac{110\sqrt{2}}{-100}
=\frac{11\sqrt{2}}{-10}
$