Y=6x(2)-11

Solution for Y=6x(2)-11 equation:

=6Y(2)-11

We move all terms to the left:

-(6Y(2)-11)=0

We add all the numbers together, and all the variables

-(+6Y^2-11)=0

We get rid of parentheses

-6Y^2+11=0

a = -6; b = 0; c = +11;
Δ = b2-4ac
Δ = 02-4·(-6)·11
Δ = 264
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:

$\sqrt{\Delta}=\sqrt{264}=\sqrt{4*66}=\sqrt{4}*\sqrt{66}=2\sqrt{66}$
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{66}}{2*-6}=\frac{0-2\sqrt{66}}{-12}
=-\frac{2\sqrt{66}}{-12}
=-\frac{\sqrt{66}}{-6}
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{66}}{2*-6}=\frac{0+2\sqrt{66}}{-12}
=\frac{2\sqrt{66}}{-12}
=\frac{\sqrt{66}}{-6}
$