Find the value of X in X-X³=17

Mathematics

1 answer:

Karolina [17]3 years ago

5 0

Answer:

Step-by-step explanation:

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

$f(-3) = -7$

$f(-2) = 18 >0$

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

$f(-2.75) = -1.0468$

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

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