Solve Electric Field Homework: Find x Coordinate for E=0

[idk11]

Homework Statement

A 1.8e-6 C charge is at the origin, while a -7.71e-6 C charge is 10cm to the right of it. Locate the x coordinate such that E=0. Note: q1 is at the origin O. Answer in units cm.

Homework Equations

Etot=E1+E2
Etot=(-k*q1/x^2)+(k*q2/(0.1+x)^2)
(k*q1/x^2)=(k*q2/(0.1+x)^2)

The Attempt at a Solution

I promise you I have attempted this equation. I'm not going to type it all out here. I have a sheet full of scratch work. The answer I keep getting is 1.96.

 

[Redbelly98]

Welcome to PF

(k*q1/x^2)=(k*q2/(0.1+x)^2)

I'm not sure where you went from here. But if you take the square root on both sides of the equation, at least you will not have to solve a quadratic.