Question

Find the value of X in X-X³=17​

Answer 1

Explanation:

Step1: find the interval of roots. Consider -3 and -2

`f(-3) = -7 <0`

`f(-2) = 18 >0`

Hence, the root must be on [-3,-2]

Step2: consider the middle point -2.5

`f(-2.5) = 3.875 >0`

Then, the root must be on [-3, -2.5]

Step 3: Repeat step 2 by finding the value of f at the middle point -2.75

`f(-2.75) = -1.0468 <0`

Step 3: Repeat step 2 by finding the value of f at the middle point of the interval [-2.75,-2.5] which is -2.625

`f(-2.625) = 1.537 >0`

Step4: Repeat step 2 on [-2.75, -2.625]

Repeat step 2 until you got the root which is -2.701