Multiple choice

State whether $k$ is root of the given equation $y^{2}\,-\,(k\,-\,4)\,y\,-\,4k\,=\,0$

  1. Yes

  2. No

  3. Ambiguous 

  4. Data insufficient
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Substitute y = k into the equation: k^2 - (k-4)k - 4k = k^2 - k^2 + 4k - 4k = 0. Since the result is 0, k is a root.

AI explanation

To check if k is a root of the equation y squared minus the quantity k minus 4 times y minus 4k equals 0, substitute y with k. This gives k squared minus the quantity k minus 4 times k minus 4k equals 0. Expanding the terms results in k squared minus k squared plus 4k minus 4k equals 0, which simplifies to 0 equals 0. Since the equation is satisfied, k is indeed a root.

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