popmystar
popmystar popmystar
  • 16-05-2022
  • Mathematics
contestada

Show that the equation x^3 + x - 3 = 0 has a solution between 1 and 2

Respuesta :

LammettHash
LammettHash LammettHash
  • 16-05-2022

When x = 1:

1³ + 1 - 3 = -1

When x = 2:

2³ + 2 - 3 = 7

Since f(x) = x³ + x - 3 is continuous, it follows from the intermediate value theorem that for some c in the interval (1, 2), we have f(c) = 0, since f(1) < 0 < f(2).

Answer Link

Otras preguntas

What property is shown by the equation? Column A Column B --- ABC 1. (34 + 11) + 9 = (11 + 34) + 9 --- ABC 2. 25 + (–15 + 4) = (25 + (–15)) + 4 --- ABC
Carlos and his friends are thinking about taking a cab home. The Cost for the cab ride is $1.50 per mile Question: Write a formula that will help Carlos Deter
how is concept of predestination tied to the dynamic growth of the calvinist faith?
37.5% of what number is 96
What is the empire Akkadians known for
Sam sent an email to 3 friends on Monday . Each of the friends then sent an email to 3 friends on Tuesday . On Wednesday each of those friends then sent an emai
What is nearest ten thousand of 63849
What is the value of g? 2/5 (g−7) =3
Would you rather find all the factors of a number or find all the prime factors of a number ? Why?
the density of gold is 19/gcm cubed. What would be the mass of a cube of gold that measures 2cm in length? Show ALL YOUR WORK