Respuesta :

25a^2 - 30a + 9 = 0 can be factorised into:
(5a - 3)(5a -3) = 0
This equation has a repeated root with coordinates (3, 0)

Answer:

(5a-3)(5a-3)

Step-by-step explanation:

This will be a perfect square trinomial.  To factor, we take the square root of the first term and the last term:

√25a² = 5a

√9 = 3

Since it is in the form ax²-bx+c, both binomials will be subtraction; this makes the factors

(5a-3)(5a-3)

To double check, multiply back through:

5a(5a)-3(5a)-3(5a)-3(-3)

25a²-15a-15a--9

25a²-30a+9