Solve this system of equations.

y = x^(3/2)

y = e^(-x)

My Answer is x = e^(-2x/3).

Is this right?

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- Apr 9th 2014, 05:54 AMnycmathSolve System of Equations
Solve this system of equations.

y = x^(3/2)

y = e^(-x)

My Answer is x = e^(-2x/3).

Is this right? - Apr 9th 2014, 06:23 AMromsekRe: Solve System of Equations
Nah. The solution to this system is in terms of the Lambert W function which I'd be surprised if you've been taught about.

Lambert W function - Wikipedia, the free encyclopedia

$x=\dfrac 3 2 W(\frac 2 3)$

You sure you have the problem correctly written? - Apr 22nd 2014, 02:26 PMHallsofIvyRe: Solve System of Equations
- Apr 22nd 2014, 07:08 PMProve ItRe: Solve System of Equations
Part of your answer will be

**the values of x which satisfy this equation**. The only way to do that (unless you know the Lambert W Function) is using numerical methods or getting a decimal approximation with a calculator (which also uses numerical methods).

You then need to get the corresponding y values.