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Which constant should be added to the binomial x^2-14x so that it becomes a perfect square trinomial?

A. 49
B. 36
C. 16
D. 25

Respuesta :

Dey99
A)49. This will give the equation x^2-14+49 and this factorised is: (x-7)^2

Answer:

A

Step-by-step explanation:

x² - 14x

using the method of completing the square

add ( half the coefficient of the x- term )² to x² - 14x

x² +2(- 7)x + (- 7)²

= x² - 14x + 49

= (x - 7)² ← perfect square

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