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Mumz [18]
2 years ago
12

Show that the equation x^3 + x -3 =0 has a solution between 1 and 2. That is the only information given

Mathematics
1 answer:
valentina_108 [34]2 years ago
8 0

Answer:

Step-by-step explanation:

Given that:

f(x) = x^3 + x - 3 = 0

Since the given function is equal to zero, then the function :

f(x) = x^3 + x - 3

where;

x = 1 and

x = 2

f(x) = (1)^3 + (1) - 3 \\  \\ f(x) = 1 + 1 - 3 \\ \\f(x) = -1 < 0

f(2) =  x^3 + x - 3 \\ \\f(2) = (2)^3 + 3 - 3  \\ \\f(2) = 8 + 3 - 3  \\ \\f(2) = 11 - 3 \\ \\f(2) = 8 > 0 \\ \\

Thus; f(1) < 0 and f(2) > 0

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