Iteration Lesson 1

Question 1

Bronze example:

Show that the solution for the equation

x3 - 10x - 30 = 0

lies between 4 and 5

Answer 1

First:
4*3 - 10(4) - 30 = 0

64 - 40 - 30 = 0

-6

Second:
5*3 - 10(3) - 30 = 0

Finally:

Therefore, as we have a positive+negative answer, the solution for the equation lies between 4 and 5

125 - 50 - 30 = 45

Question 2

Silver example:

Show that x2 - 4x - 9 = 0 can be written in the form:

x = √9 + 4x

Answer 2

SHOW EVERY PART

First:

x2 - 4x - 9 = 0
+9 +9

Second:

x2 - 4x = 9
+4x +4x

Third:

x2 = 4x+9
square root both sides

x = √4x + 9