y=2(-12/11)+4

Solution for y=2(-12/11)+4 equation:

y=2(-12/11)+4

We move all terms to the left:

y-(2(-12/11)+4)=0

We multiply all the terms by the denominator


y*11)+4)-(2(-12=0

Wy multiply elements

11y^2-12=0

a = 11; b = 0; c = -12;
Δ = b2-4ac
Δ = 02-4·11·(-12)
Δ = 528
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{528}=\sqrt{16*33}=\sqrt{16}*\sqrt{33}=4\sqrt{33}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{33}}{2*11}=\frac{0-4\sqrt{33}}{22}
=-\frac{4\sqrt{33}}{22}
=-\frac{2\sqrt{33}}{11}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{33}}{2*11}=\frac{0+4\sqrt{33}}{22}
=\frac{4\sqrt{33}}{22}
=\frac{2\sqrt{33}}{11}
$