Given that k is a non-zeroreal number.
Prove that the quadratic equation kx^2-x-k=0 has two unequal real roots.
Maths
2007-10-22 5:19 am
回答 (1)
2007-10-22 5:27 am
✔ 最佳答案
Discriminant= (-1)^2 - 4(k)(-k)
= 1 + 4k^2
> 0
Because discriminant > 0, the equation has two unequal real roots.
Explanation:
k^2 is always greater than or equal to zero.
k^2 + 1 is always greater than zero.
If there is a mistake, please inform me!
參考: My Maths knowledge
收錄日期: 2021-04-13 14:04:45
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