how do you factor x^2=8? it came from 16-2x^2=0 and i got it to x^2=8 but then what? please explain in simple terms
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16-2x^2=0
...................both sides are added by 2x²
16 = 2x²
....................both sides are divided by 2
8 = x² or x² = 8
then,
x² = 8
(x² - 8) = 0
(x -√8)(x+√8) = 0
then
(x -√8) = 0
x = √8 = √(4.2) =√4.√2 = 2√2
or
(x +√8) = 0
x = -√8 = -√(4.2) = -√4.√2 = -2√2
...................both sides are added by 2x²
16 = 2x²
....................both sides are divided by 2
8 = x² or x² = 8
then,
x² = 8
(x² - 8) = 0
(x -√8)(x+√8) = 0
then
(x -√8) = 0
x = √8 = √(4.2) =√4.√2 = 2√2
or
(x +√8) = 0
x = -√8 = -√(4.2) = -√4.√2 = -2√2
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x^2=8
x^2-8=0
(x+sqrt[8])(x-sqrt[8]) = 0
x = ±2sqrt[2]
x^2-8=0
(x+sqrt[8])(x-sqrt[8]) = 0
x = ±2sqrt[2]
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x = +/- 2 sqrt2