y=2(-27/11)-10

Solution for y=2(-27/11)-10 equation:

y=2(-27/11)-10

We move all terms to the left:

y-(2(-27/11)-10)=0

We multiply all the terms by the denominator


y*11)-10)-(2(-27=0

Wy multiply elements

11y^2-27=0

a = 11; b = 0; c = -27;
Δ = b2-4ac
Δ = 02-4·11·(-27)
Δ = 1188
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:

$\sqrt{\Delta}=\sqrt{1188}=\sqrt{36*33}=\sqrt{36}*\sqrt{33}=6\sqrt{33}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{33}}{2*11}=\frac{0-6\sqrt{33}}{22}
=-\frac{6\sqrt{33}}{22}
=-\frac{3\sqrt{33}}{11}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{33}}{2*11}=\frac{0+6\sqrt{33}}{22}
=\frac{6\sqrt{33}}{22}
=\frac{3\sqrt{33}}{11}
$