Question

Find the x-coordinates of the points of intersection of the graphs of the given equations.
y^2-2x^2=3
x+y=3

Answer 1

\[y^2-2x^2=3\]\[x+y=3\]

Answer 2

from 2º equation y=3-x
substituting this in the 1º equation:
(3-x)^2-2x^2=3
9-6x+x^2-2x^2=3
-x^2-6x+9=3
x^2+6x-6=0
solve this using quadratic formula