4y^2=5.76y=

Solution for 4y^2=5.76y= equation:

4y^2=5.76y=

We move all terms to the left:

4y^2-(5.76y)=0

We add all the numbers together, and all the variables

4y^2-(+5.76y)=0

We get rid of parentheses

4y^2-5.76y=0

a = 4; b = -5.76; c = 0;
Δ = b2-4ac
Δ = -5.762-4·4·0
Δ = 33.1776
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5.76)-\sqrt{33.1776}}{2*4}=\frac{5.76-\sqrt{33.1776}}{8}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5.76)+\sqrt{33.1776}}{2*4}=\frac{5.76+\sqrt{33.1776}}{8}
$