Question:medium
If the zeroes of a quadratic polynomial \( 3x^2 - kx + 12 \) are equal, then find the value of \( k \).
If the zeroes of a quadratic polynomial \( 3x^2 - kx + 12 \) are equal, then find the value of \( k \).
Show Hint
The condition for equal roots of a quadratic equation is that the discriminant should be zero. Use the discriminant formula to find the value of the coefficient.
Updated On: Mar 1, 2026
Show Solution
Solution and Explanation
Was this answer helpful?
0
Top Questions on Quadratic Equations
- If \( \alpha,\beta \) where \( \alpha<\beta \), are the roots of the equation \[ \lambda x^2-(\lambda+3)x+3=0 \] such that \[ \frac{1}{\alpha}-\frac{1}{\beta}=\frac{1}{3}, \] then the sum of all possible values of \( \lambda \) is:
- JEE Main - 2026
- Mathematics
- Quadratic Equations
- Let $\alpha, \beta$ be the roots of the quadratic equation \[ 12x^2 - 20x + 3\lambda = 0,\ \lambda \in \mathbb{Z}. \] If \[ \frac{1}{2} \le |\beta-\alpha| \le \frac{3}{2}, \] then the sum of all possible values of $\lambda$ is
- JEE Main - 2026
- Mathematics
- Quadratic Equations
- Let the mean and variance of 8 numbers -10, -7, -1, x, y, 9, 2, 16 be \( 2 \) and \( \frac{293}{4} \), respectively. Then the mean of 4 numbers x, y, x+y+1, |x-y| is:
- JEE Main - 2026
- Mathematics
- Quadratic Equations
- The sum of all the roots of the equation \((x-1)^2 - 5|x-1| + 6 = 0\), is:
- JEE Main - 2026
- Mathematics
- Quadratic Equations
- Want to practice more? Try solving extra ecology questions todayView All Questions
