Find the value of n such that x^2-19x+n is a perfect square trinomial.

Question

asked Nov 7, 2023 47.6k views

1 Answer

Kasperjj · Answer 1 · 2023-11-11T04:59:03+0000

Answer:

1st option

Explanation:

x² - 19x + n

using the method of completing the square

add ( half the coefficient of the x- term )² to x² - 19x

x² + 2(-
(19)/(2) )x + (-
)²

with n = (-
(19)/(2) )² =
(361)/(4) , then

(x -
(19)/(2) )² ← a perfect square trinomial