It is known that there are two intersections between the straight line y = 2x + m and the ellipse x ^ 2 / 9 + y ^ 2 / 4 = 1, so the value range of the real number m can be obtained

Substituting the straight line y = 2x + m into the ellipse x ^ 2 / 9 + y ^ 2 / 4 = 1, we get
40x^2+36mx+9m^2-36=0
△=(36m)^2-160(9m^2-36)>0
-2√10

RELATED INFORMATIONS

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