58.1k views
18 votes
How many roots does y=x2-6x+9 have

User Stevekohls
by
4.2k points

1 Answer

10 votes

Answer:

One root ; x = 3

Explanation:

( a ± b )² = a² ± 2ab + b²

~~~~~~~~~

y = x² - 6x + 9

x² - 6x + 9 = x² - 2(x)(3) + 3² = ( x - 3 )²

( x - 3 )² = 0 ⇒ x - 3 = 0 ⇒ x = 3

How many roots does y=x2-6x+9 have-example-1
User Vadim Goroshevsky
by
4.5k points