soheilaa soheilaa

22-11-2020
Mathematics

contestada

Find the value of c that completes the square

x^2-16x+c

Please help me with how to do this, and show me. Thank you.

Respuesta :

jimrgrant1 jimrgrant1

22-11-2020

Answer:

c = 64

Step-by-step explanation:

Given

x² - 16x + c

To complete the square

add ( half the coefficient of the x- term )² to x² - 16x

x² + 2(- 8)x + 64

= (x - 8)²

Thus

x² - 16x + 64 = (x - 8)² ← a perfect square

with c = 64

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