20 Questions MCQ Test Mathematics (Maths) Class 10 - Test: Zeroes & Coefficients
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If one zero of the polynomial x2 + kx + 18 is double the other zero then k = ?
Detailed Solution for Test: Zeroes & Coefficients - Question 7
Let one zero of the equation be x
Then, other would be 2x
As we know,
x × 2x = 18
x2 = 9
x = 3, -3
If x = 3, 2x = 6
Therefore, -k = sum of roots = 9
⇒ k = -9
If x = -3, 2x = -6
Therefore, -k = -9
⇒ k = 9
So, k can be 9,-9. Therefore, option 'b' is correct.
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