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Show that the equation x^3 + 6x - 5 = 0 has a solution between x = 0 and x=1

Sagot :

Irunthepaintidn

Answer:

Step-by-step explanation:

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View image Irunthepaint
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Solve the equation for 0 and 1:

x^3 + 6x -5

Replace x with 0:

0^3 + 6(0) -5 = -5

Replace x with 1:

1^3 + 6(1) -5 = 1+6 -5 = 2

Because the value of f(0) is negative and the value of f(1) is positive then there is at least one value of x between 0 and 1 that f(x) = 0

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