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avanturin [10]
3 years ago
8

If B is the midpoint of AC, AB = 8x + 5, and BC = 5x2 - 16, then find x and AC

Mathematics
1 answer:
Murljashka [212]3 years ago
5 0

Answer:

Step-by-step explanation:

AB = 8x + 5

BC = 5x² - 16

5x² -  16 = 8x + 5

5x² - 8x - 21 = 0

Quadratic formula

x = [8 ± √(8² – 4·5(-21))] / [2·5]

 = [8 ± √484] / 10

 = [8 ± 22] /10

 = -1.4, 3

-1.4 is an extraneous solution.

x = 3

AB = 8x+5 = 29

AC = 58

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