Question

What is the answer to this problem

Answer 1

Step One

Solve for CE as a numerical value

CE = 1/2 * CD = 1/2 66 = 33

CE = 33

Step Two

Solve for x

CD also equals x^2 - 3     which is given.

x^2 - 3 = 33                       Add 3 to both sides

x^2 = 33 + 3

x^2 = 36                            Take the square root of both sides

sqrt(x^2) = sqrt(36)

x = 6

Step 3

Find the length of AE

AE is given as 6x - 10

x = 6

AE = 6*6 - 10

AE = 36 - 10

AE = 26

Step 4

Find AB

AE = 1/2 AB                  Definition of bisect

26 = 1/2 AB                  Multiply by 2

2*26 = AB

AB = 52       <<<<<<<<Answer