Renee Craig

Mathematics

29 August, 00:38

Penelope determined the solutions of the quadratic function by completing the square.

f (x) = 4x² + 8x + 1

-1 = 4x² + 8x

-1 = 4 (x² + 2x)

-1 + 1 = 4 (x² + 2x + 1)

0 = 4 (x + 2) ²

0 = (x + 2) ²

0 = x + 2

-2 = x

What error did Penelope make in her work?

a.) Penelope should have subtracted 1 from both sides instead of adding 1.

b.) Penelope should have subtracted 4 from both sides instead of adding 1.

c.) Penelope should have added 4 to both sides instead of adding 1.

d.) Penelope should have subtracted 8 from both sides instead of adding 1.