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Question
The values of a for which y = x2 + ax + 25 touches the axis of x are ______.
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Solution
The values of a for which y = x2 + ax + 25 touches the axis of x are ±10.
Explanation:
`"dy"/"dx"` = 0
⇒ 2x + a = 0
i.e. x = `- "a"/2`
Therefore, `"a"^2/4 + "a"(- "a"/2) + 25` = 0
⇒ a = ±10
Hence, the values of a are ± 10.
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