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

Mathematics

1 answer:

evablogger [386]2 years ago

3 0

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).

You might be interested in

5x-3y=21 Solve for Y

Andrews [41]

You first subtract 5x from both sides and end up with -3y=21-5x. In order to isolate the variable you need to divide -3 from both sides. Your equation would then be y= -7+ 5/3x. I hope this helps love! :)

7 0

3 years ago

Can some one help me ?????

gizmo_the_mogwai [7]

$\frac{6}{7}v-\frac{7}{4}=-\frac{3}{2}\ \ \ \ \ |multiply\ both\ sides\ by\ LCM(7;\ 4;\ 2)=28\\\\28\times\frac{6}{7}v-28\times\frac{7}{4}=28\times(-\frac{3}{2})\\\\4\times6v-7\times7=14\times(-3)\\\\24v-49=-42\ \ \ \ \ \ |add\ 49\ to\ both\ sides\\\\24v=7\ \ \ \ \ \ |divide\ both\ sides\ by\ 24\\\\\boxed{v=\frac{7}{24}}$

4 0

3 years ago

Read 2 more answers

√8(√2-x)=11 a.) -7√2/2 b.) -7√2/4 c.) -7√8/8

igor_vitrenko [27]

After solving the equation, you will find the correct answer to be C, -7√8/8.
Have a great day!

3 0

4 years ago

Read 2 more answers

A scale model of a giant robot is is 24 centimeters. high, with an arm length of 12 centimeters. The height of the real robot is

Furkat [3]

The ratio of the robot's height to its arm length is 24 to 12 or 2 to 1. So if its height is 6 meters, then its arm length is 3 meters.

6 0

4 years ago

Simplify i to the 37th power A-1 B- -1 C- -i D- i

Ivan

I believe the answer is D. Divide 37 by four and you get 9 remainder 1. I equals one.
Hope this helps mate.
Just remember that i to the fourth power is i.

4 0

3 years ago