There are two different intersection points between the straight line y = x + m and the ellipse 2x square + y square = 1. Find the value range of the real number M

There are two different intersection points between the straight line y = x + m and the ellipse 2x square + y square = 1. Find the value range of the real number M

Substituting the linear equation into the ellipse, we get: 3x & # 178; + 2mx + M & # 178; - 1 = 0
If Δ is greater than 0, it will be: √ 6 / 2 < m <√ 6 / 2