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

The Papal Line of Demarcation told Spain and Portugal
what was the early principality of Russia called
Eva wants to make two pieces of pottery. She needs 3/5 pounds of clay for one piece and 7/10 pounds of clay for the other. She has three bags of clay that weigh
What medical advances happened during the Abbasid Caliphate ?
Which statement below most accurately reflects the effect Fort Wagner had on the black community? They did not want to fight in the war. The tragic losses stron
How many 2 inch cubes are needed to completely fill a cubic box of edges 8 inches?
Which of the following italicized words is correctly capitalized?Which of the following italicized words is correctly capitalized? a. The most beautiful State
How many times does 6 go into 160
The height of the Gateway arch shown on the Missouri quarter is 630 feet or 7560 inches find how many 4 inch stacks off quarters make up the height of the Gatew
15/36 simplified????