The function f (x) = g (x), where f (x) = 2x-5 and g (x) = x^2-6. The table below shows the process of solving using successive approximations. Continue this process to find the positive solution to the nearest 10th.

Question

Mathematics

Ainsley Ward

24 June, 14:42

The function f (x) = g (x), where f (x) = 2x-5 and g (x) = x^2-6. The table below shows the process of solving using successive approximations. Continue this process to find the positive solution to the nearest 10th.

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Answers (1)

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Jean Mcclure · Answer 1

Given:

f (x) = g (x)

and

f (x) = 2x - 5

g (x) = x^2 - 6

To solve for the values of x:

equate: f (x) = g (x)

2x - 5 = x^2 - 6

isolate all terms to the left:

x^2 - 2x - 6 + 5 = 0

simplify

x^2 - 2x + 1 = 0

(x-1) ^2 = 0

therefore: x = 1