If a and b are the roots of the equation x² – 9x + 20 = 0, find the value of a² + b² + ab?

Related Mcqs:

1. If the roots of a quadratic equation are 20 and -7, then find the equation?

   A. x2 + 13x – 140 = 0
   B. x2 – 13x + 140 = 0
   C. x2 – 13x – 140 = 0
   D. x2 + 13x + 140 = 0

2. If the roots of the equation 2x² – 5x + b = 0 are in the ratio of 2:3, then find the value of b?

   A. 3
   B. 4
   C. 5
   D. 6

3. Find the value of a/b + b/a, if a and b are the roots of the quadratic equation x² + 8x + 4 = 0?

   A. 15
   B. 14
   C. 24
   D. 26

4. Find the quadratic equations whose roots are the reciprocals of the roots of 2x² + 5x + 3 = 0?

   A. 3x² + 5x – 2 = 0
   B. 3x² + 5x + 2 = 0
   C. 3x² – 5x + 2 = 0
   D. 3x² – 5x – 2 = 0

5. Find the roots of the quadratic equation: x2 + 2x – 15 = 0?

   A. -5, 3
   B. 3, 5
   C. -3, 5
   D. -3, -5

6. The roots of the equation 3x² – 12x + 10 = 0 are?

   A. rational and unequal
   B. complex
   C. real and equal
   D. irrational and unequal

7. The sum and the product of the roots of the quadratic equation x(power 2) + 20x + 3 = 0 are?

   A. 10, 3
   B. -10, 3
   C. -20, 3
   D. -10, -3

8. Find the roots of quadratic equation: 2x² + 5x + 2 = 0?

   A. -2, -1/2
   B. 4, -1
   C. 4, 1
   D. -2, 5/2

9. Find the roots of quadratic equation: x² + x – 42 = 0?

   A. -6, 7
   B. -8, 7
   C. 14, -3
   D. -7, 6

10. Find the roots of quadratic equation: 3x² – 7x – 6 = 0?

    A. -6, 3
    B. 3, -2/3
    C. -5, 2
    D. -9, 2