Answer:
Step-by-step explanation:
x²-6x+9 = 0
Factor
(x-3)(x-3) = 0
x = 3
Answer:
x = 3
Step-by-step explanation:
We need to find to numbers that sum up to make -6 but their product is +9 :
-3 and -3 will do :
Now we split -6x into -3x and -3x :
x² -3x -3x + 9 = 0
Factorise the first 2 terms:
x(x-3)
Keeping the terms inside the bracket the same as the 1st one factorise the next 2 terms :
x(x-3)-3(x-3) = 0
Keep 1 bracket and make another bracket out of the terms that are outside the brackets :
(x-3)(x-3) = 0
Using the integer rule :
a × 0 = 0
We know that one of these brackets are equal to zero :
x-3= 0
Add 3 to both sides :
x = 3
The other bracket is the same so our final answer is x = 3
Hope this helped and have a good day
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