If the ellipse X & # 178; / 4 + Y & # 178; / A & # 178; = 1 has the same focus as the hyperbola X & # 178; / A & # 178; - Y & # 178; / 2, then a & # 178; =?

If the ellipse X & # 178; / 4 + Y & # 178; / A & # 178; = 1 has the same focus as the hyperbola X & # 178; / A & # 178; - Y & # 178; / 2, then a & # 178; =?

Ellipse X & # 178; / 4 + Y & # 178; / A & # 178; = 1 has the same focus as hyperbola X & # 178; / A & # 178; - Y & # 178; / 2 = 0
∵ hyperbola X & # 178 / A & # 178; - Y & # 178 / 2 = 0
The focus is on the x-axis,
∴ 4-a²=a²+2
∴ a²=1