5/y2=1.25

Solution for 5/y2=1.25 equation:

5/y2=1.25

We move all terms to the left:

5/y2-(1.25)=0


Domain of the equation: y2!=0

y^2!=0/

y^2!=√0

y!=0

y∈R


We add all the numbers together, and all the variables

5/y2-1.25=0

We multiply all the terms by the denominator


-(1.25)*y2+5=0

We multiply parentheses

-1.25y^2+5=0

a = -1.25; b = 0; c = +5;
Δ = b2-4ac
Δ = 02-4·(-1.25)·5
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-5}{2*-1.25}=\frac{-5}{-2.5}
=+2
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+5}{2*-1.25}=\frac{5}{-2.5}
=-2
$