If B is the midpoint of AC, AB = 8x + 5, and BC = 5x2 - 16, then find x and AC
1 answer:
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
You might be interested in
The least common denominator is 150. 15x10 = 150, and 50x3 = 150
Writing like terms in the same column eases this work:
2xy^2 + x^2y
+5x^2y
----------------------
2xy^2 + 6x^2y (sum)
Answer:
0
Step-by-step explanation:
it's divided evenly with no remainder
I'm doing something right now, but sure.
PS. I may not answer fast