Answer:
x = [tex]\pm\sqrt6[/tex]
Step-by-step explanation:
We can solve for x in the equation:
x² - 6 = 0
by factoring it as a difference of squares:
a² - b² = (a + b)(a - b)
↓↓↓
x² - 6 = (x + √6)(x - √6) = 0
Next, we can set each factor to 0:
x + √6 = 0
x = [tex]\bf -\!\sqrt6[/tex]
OR
x - √6 = 0
x = [tex]\sqrt6[/tex]
