Jamb Mathematics Questions - Polynomials
Question 46:
Solve the given equation \((\log_{3} x)^{2} - 6(\log_{3} x) + 9 = 0\)
- A 27
- B 9
- C \(\frac{1}{27}\)
- D 18
- E 81
Question 47:
Seven years ago, the age of a father was three times that of his son, but in six years time the age of the son will be half that of his father, representing the present ages of the father and son by x and y, respectively, the two equations relating x and y are
- A 3y - x = 0; 2y - x = 0
- B 3y - x = 14; x - 2y = 6
- C 3y - x =7; x - 2y = 6
- D 3y - x = 14; y - 2x = 6
- E X + 3y = 7; x = 2y = 12
Question 48:
The solution of the quadratic equation bx2 + cx + a = 0 is given by
- A X = b \(\pm\) \(\frac{\sqrt{b^2 - 4ac}}{2a}\)
- B X = c \(\pm\) \(\frac{\sqrt{b^2 - 4ab}}{2b}\)
- C X = -c \(\pm\) \(\frac{\sqrt{c^2 - 4ab}}{2b}\)
- D X = -b \(\pm\) \(\frac{\sqrt{b^2 - 4ac}}{2b}\)
Question 49:
The graphical method of solving the equation x3 + 3x2 + 4x - 28 = 0 is by drawing the graphs of the curves
- A Y = x<sup style='font-size: smaller;'>3</sup> and y = 3x<sup style='font-size: smaller;'>2</sup> + x - 28
- B Y = x<sup style='font-size: smaller;'>3</sup> + 3x<sup style='font-size: smaller;'>2</sup> + 4x + 4 and the line y = \(\frac{28}{x}\)
- C Y = x<sup style='font-size: smaller;'>3</sup> + 3x<sup style='font-size: smaller;'>2</sup> + 4x and y
- D Y = x<sup style='font-size: smaller;'>2</sup> + 3x + 4 and y = \(\frac{28}{x}\)
- E Y = x<sup style='font-size: smaller;'>2</sup> + 3x + 4 and line y = 28x
Question 50:
The solution to the quadratic equation 5 + 3x - 2x2 = 0 is
- A (\(\frac{5}{2}\), 1)
- B (5, 3)
- C -(\(\frac{5}{2}\), -1)
- D (\(\frac{5}{2}\), -1)