HUHROSIE
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In the diagram below B is the midpoint of AC if AB equals 2X and BC equals X squared -24 find the value of X and the length of AC

Respuesta :

sqdancefan

Answer:

  x = 6

  AC = 24

Step-by-step explanation:

The midpoint divides the segment into two congruent parts.

  AB = BC

  BC -AB = 0

  x^2 -24 -2x = 0

  (x -1)^2 = 25 . . . . . . add 25, write as a square

  x = 1 +√25 = 6 . . . . only the positive solution is of interest.

AC = 2(AB) = 2(2x) = 4(6) = 24

The value of X is 6, and the length of AC is 24 units.

MisterBrainly

If B is the midpoint

  • AB=BC
  • x²-24=2x
  • x²-2x-24=0
  • x²-6x+4x-24=0
  • (x-6)(x+4)=0
  • x=6,-4

Distance is positive

  • x=6

AC

  • 2(2x)
  • 4x
  • 4(6)
  • 24

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