QuestionAugust 27, 2025

Value: 5 What number will make this expression a perfect square trinomial? x^2-6x+underline ( )

Value: 5 What number will make this expression a perfect square trinomial? x^2-6x+underline ( )
Value: 5
What number will make this expression a perfect square trinomial?
x^2-6x+underline ( )

Solution
4.4(242 votes)

Answer

9 Explanation 1. Identify the formula for a perfect square trinomial A perfect square trinomial has the form (x-a)^2 = x^2 - 2ax + a^2. 2. Calculate 'a' using the coefficient of x The coefficient of x is -6. Set -2a = -6, so a = 3. 3. Find the missing term Calculate a^2: 3^2 = 9.

Explanation

1. Identify the formula for a perfect square trinomial<br /> A perfect square trinomial has the form $(x-a)^2 = x^2 - 2ax + a^2$.<br />2. Calculate 'a' using the coefficient of x<br /> The coefficient of $x$ is $-6$. Set $-2a = -6$, so $a = 3$.<br />3. Find the missing term<br /> Calculate $a^2$: $3^2 = 9$.
Click to rate: