13.80=x2/5-23.50

Solution for 13.80=x2/5-23.50 equation:

13.80=x2/5-23.50

We move all terms to the left:

13.80-(x2/5-23.50)=0

We add all the numbers together, and all the variables

-(x2/5-23.5)+13.80=0

We add all the numbers together, and all the variables

-(x2/5-23.5)+13.8=0

We get rid of parentheses

-x2/5+23.5+13.8=0

We multiply all the terms by the denominator


-x2+(23.5)*5+(13.8)*5=0

We add all the numbers together, and all the variables

-1x^2+186.5=0

a = -1; b = 0; c = +186.5;
Δ = b2-4ac
Δ = 02-4·(-1)·186.5
Δ = 746
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{746}}{2*-1}=\frac{0-\sqrt{746}}{-2}
=-\frac{\sqrt{}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{746}}{2*-1}=\frac{0+\sqrt{746}}{-2}
=\frac{\sqrt{}}{-2}
$