Question

How do i solve fr the x intercepts for 4x^2-3y^2+2xy-12=0

Answer 1

You can solve for the x intercepts by setting the value of y to 0 and solving for x.
The equation would be reduced to:
4x^2 - 12 = 0
Solving for x:
x^2 = 12/4
x^2 = 3
x = sqrt(3), x = -sqrt(3)

The x intercepts are positive and negative square root of 3.