(1/2)y=264

Solution for (1/2)y=264 equation:

(1/2)y=264

We move all terms to the left:

(1/2)y-(264)=0


Domain of the equation: 2)y!=0

y!=0/1

y!=0

y∈R


We add all the numbers together, and all the variables

(+1/2)y-264=0

We multiply parentheses

y^2-264=0

a = 1; b = 0; c = -264;
Δ = b2-4ac
Δ = 02-4·1·(-264)
Δ = 1056
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:

$\sqrt{\Delta}=\sqrt{1056}=\sqrt{16*66}=\sqrt{16}*\sqrt{66}=4\sqrt{66}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{66}}{2*1}=\frac{0-4\sqrt{66}}{2}
=-\frac{4\sqrt{66}}{2}
=-2\sqrt{66}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{66}}{2*1}=\frac{0+4\sqrt{66}}{2}
=\frac{4\sqrt{66}}{2}
=2\sqrt{66}
$