Respuesta :
Answer:
25
Step-by-step explanation:
If you add 25 to both sides, you get
x^2-10x+25=26.
Now, you can simplify the left side into a perfect square
(x-5)^2=26
The term that must be added to the given equation is 25 to make it into a perfect square.
What are the perfect square binomials?
The perfect square binomials are:
(a - b)² = a² - 2ab + b²
(a + b)² = a² + 2ab + b²
If the given equation is in the form of these expressions then they are said to be perfect squares and are simplified as above.
Calculation:
The given equation is
x² - 10x = 1
⇒ x² - 2(x)(5) = 1
To make this as perfect square add 25 on both sides
⇒ x² - 2(x) (5) + 25 = 1 + 25
⇒ x² - 2(x)(5) + 5² = 26
⇒ (x - 5)² = 26
So, after adding 25 on both sides, the equation becomes a perfect square.
Learn more about making perfect squares here:
https://brainly.com/question/8735695
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