Find the zeros of the function. Write the smaller solution first, and the larger solution second.

f (x) = (x + 4) ^2 - 25

Question

Mathematics

Cook

24 September, 02:10

Find the zeros of the function. Write the smaller solution first, and the larger solution second.

f (x) = (x + 4) ^2 - 25

+1

Answers (1)

Know the Answer?

Jairo Sweeney · Answer 1

x = - 9,1

Step-by-step explanation:

f (x) = (x + 4) ^2 - 25

Set the function equal to zero

0 = (x + 4) ^2 - 25

Add 25 to each side

25 = (x + 4) ^2 - 25+25

25 = (x + 4) ^2

Take the square root of each side

±sqrt (25) = sqrt ((x + 4) ^2)

±5 = x+4

Separate into two equations

5 = x+4 - 5 = x+4

Subtract 4 from each side

5-4 = x+4-4 - 5-4 = x+4-4

1 = x - 9 = x

Find the zeros of the function. Write the smaller solution first, and the larger solution second.f (x) = (x + 4) ^2 - 25

Find the zeros of the function. Write the smaller solution first, and the larger solution second.

f (x) = (x + 4) ^2 - 25