Question:medium
If \( x_1 \) and \( x_2 \) are the roots of \( 3x^2 - 2x - 6 = 0 \), then \( x_1^2 + x_2^2 \) is equal to:
If \( x_1 \) and \( x_2 \) are the roots of \( 3x^2 - 2x - 6 = 0 \), then \( x_1^2 + x_2^2 \) is equal to:
Show Hint
The identity \( a^2 + b^2 = (a+b)^2 - 2ab \) is essential for symmetric root problems. Always find the sum and product first before attempting to evaluate the specific expression.
Updated On: May 1, 2026
- \( \frac{50}{9} \)
- \( \frac{40}{9} \)
- \( \frac{30}{9} \)
- \( \frac{20}{9} \)
- \( \frac{10}{9} \)
Show Solution
The Correct Option is B
Solution and Explanation
Was this answer helpful?
0
Top Questions on Quadratic Equations
- The equation \( (\cos p - 1)x^2 + (\cos p)x + \sin p = 0 \), where \( x \) is a variable with real roots. Then the interval of \( p \) may be any one of the following:
- MHT CET - 2024
- Mathematics
- Quadratic Equations
- If the roots of the quadratic equation \( x^2 - 7x + 12 = 0 \) are \( \alpha \) and \( \beta \), then the value of \( \alpha + \beta \) is:
- MHT CET - 2025
- Mathematics
- Quadratic Equations
- Find the roots of the quadratic equation $ x^2 - 5x + 6 = 0 $.
- MHT CET - 2025
- Mathematics
- Quadratic Equations
- Find the sum of the roots of the quadratic equation $ 2x^2 - 5x + 3 = 0 $.
- MHT CET - 2025
- Mathematics
- Quadratic Equations
- Want to practice more? Try solving extra ecology questions todayView All Questions
