-1/4y+2.25y-1y=

Solution for -1/4y+2.25y-1y= equation:

-1/4y+2.25y-1y=

We move all terms to the left:

-1/4y+2.25y-1y-()=0


Domain of the equation: 4y!=0

y!=0/4

y!=0

y∈R


We add all the numbers together, and all the variables

1.25y-1/4y=0

We multiply all the terms by the denominator


(1.25y)*4y-1=0

We add all the numbers together, and all the variables

(+1.25y)*4y-1=0

We multiply parentheses

4y^2-1=0

a = 4; b = 0; c = -1;
Δ = b2-4ac
Δ = 02-4·4·(-1)
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4}{2*4}=\frac{-4}{8}
=-1/2
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4}{2*4}=\frac{4}{8}
=1/2
$