Question

Can someone pls help me with this?

Answer 1

Answer: D

Explanation:

Factor the equation.

Use the formula a^2 - 2ab + b^2 = (a - b)^2

x^2 - 10x + 25 = (x - 5)^2

Set (x - 5)^2 to 0 and square root.

x - 5 = 0

x = 5

Alternatively, you can factor by finding the sum and product and then use grouping.

The factors of 25 are: 1 and 25; 5 and 5; -1 and -25; -5 and -5

In this example, multiplying -5 and -5 gives you 25 and adding -5 and -5 gives you 10. So...

x^2 - 5x - 5x +25 = 0

Split the equation in half and factor

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

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

x - 5 = 0

x = 5

Answer 2

Explanation:

The answer would be D.) x=-5 only

First you would have to factor f(x)=
`x^(2)`-10x+25

When factored you get (x-5)(x-5), this being a perfect square.

Next you set both equation equal to zero. Giving you positive 5 for both of them. Therefor your final answer is D.