(122/100)*x=77

Solution for (122/100)*x=77 equation:

(122/100)*x=77

We move all terms to the left:

(122/100)*x-(77)=0


Domain of the equation: 100)*x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+122/100)*x-77=0

We multiply parentheses

122x^2-77=0

a = 122; b = 0; c = -77;
Δ = b2-4ac
Δ = 02-4·122·(-77)
Δ = 37576
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:

$\sqrt{\Delta}=\sqrt{37576}=\sqrt{4*9394}=\sqrt{4}*\sqrt{9394}=2\sqrt{9394}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{9394}}{2*122}=\frac{0-2\sqrt{9394}}{244}
=-\frac{2\sqrt{9394}}{244}
=-\frac{\sqrt{9394}}{122}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{9394}}{2*122}=\frac{0+2\sqrt{9394}}{244}
=\frac{2\sqrt{9394}}{244}
=\frac{\sqrt{9394}}{122}
$