Respuesta :

Zeros are found by factoring.  You should probably by now recognize that this will factor into a perfect square binomial, since the x is squared and the 25 is also a perfect square.  Of course this only works when the second sign is a +.  Which ours is.  I mean "+25".  Factor it to the square root of x^2 - the square root of 25: (x-5)(x-5), or [tex](x-5) ^{2} [/tex], same thing, different notation.

Answer:

Step-by-step explanation:

For zeros of a function f(x) we solve f(x)=0

so

[tex]f(x)=x^2-10x+25=0[/tex]

[tex]x^2-10x+25=0 \\[/tex]

Next we factor the given quadratic

(x-5)(x-5)=0

Now using the zero product identity so

x-5=0

x=5 only