Wednesday

April 1, 2015

April 1, 2015

Posted by **Heather** on Sunday, January 6, 2013 at 3:23pm.

e^x+e^x-x=6

can you show work

- calculus -
**Reiny**, Sunday, January 6, 2013 at 3:26pmYou don't have an inequality, you have an equation

Why do you have two terms the same?

Is there a typo ?

- calculus -
**Heather**, Sunday, January 6, 2013 at 5:22pmI am sorry.

This is the equation.

Solve the follow exponential equation

e^x+e^-x=6

- calculus -
**Damon**, Sunday, January 6, 2013 at 6:55pme^-x = 1/e^x

so

e^x + 1/e^x = 6

e^2x/e^x + 1/e^x = 6

(e^2x + 1) = 6 e^x

let z = e^x

z^2 + 1 = 6 z

z^2 - 6 z + 1 = 0

z = [ 6 +/- sqrt(36 -4) ] /2

z = 3 +/- .5 sqrt(32)

z = 3 +/- 2 sqrt 2

so

e^x = 5.828 or e^x = .1716

ln e^x = x = 1.76 or x = -1.76

**Answer this Question**

**Related Questions**

calculus - solve the inequality algebraically 7x-6 less than or equal to 3x^2 ...

calculus - solve the following inequality. write your solution in interval ...

algebra 2 - the 2 unequalities -26<4k-2 and 2k-1<6 A. Write a compound ...

math - 2. Simplify. Please be sure to show all of your work. -3(-9) – |-5 – 3 3...

Algebra - Solve each inequality algebraically:how do I solve this problem? What ...

Solve Inequality - Solve the inequality. Express your solution using interval ...

Math - Solve the inequality. Show all work 2x^2+5x<3

math - Use an inequality to solve the problem. Be sure to show the inequality ...

Algebra - Solve the inequality 1. m - 7 < 6 2. x + 4.5 more than or equal to ...

alg - solve the following inequality x^2(8+x)(x-5)/(x+5)(x-2)>/=0 please show...