Find your Math Personality!
Find your Math Personality!
Which of the following constants can be added to x2 - 3x to form a perfect square trinomial?
1 1/2, 2 1/4, 4 1/2
Solution:
A perfect square trinomial is of the form
(a - b)2 = a2 - 2ab + b2 --- (1)
Given, the equation is x2 - 3x + __
Let us take the missing term as c,
now, x2 - 3x + c --- (2)
Comparing (1) and (2), we get,
⇒ a2 = x2
⇒ a = x
⇒ -2ab = - 3x
We know, a = x
So, -2xb = -3x
⇒ 2b = 3
⇒ b = 3/2
⇒ b2 = c
⇒ c = (3/2)2
⇒ c = 9/4
⇒ c = 2 ¼
Therefore, the constant to be added is 2 ¼
Which of the following constants can be added to x2 - 3x to form a perfect square trinomial?
Summary:
The constant to be added to x2 - 3x to form a perfect square trinomial is 2 ¼.
Math worksheets and
visual curriculum
visual curriculum