Jamb Mathematics Questions - equations involving indices
Question 1:
If and are the roots of the equation 3x2 + bx 2 = 0. Find the value of \(\frac{1}{\alpha}\) + \(\frac{1}{\beta}\)
- A \(\frac{-5}{3}\)
- B \(\frac{-2}{3}\)
- C \(\frac{1}{2}\)
- D \(\frac{5}{2}\)
Question 2:
If α and β are the roots of the equation 3x2 + bx − 2 = 0. Find the value of \(\frac{1}{\alpha}\) + \(\frac{1}{\beta}\)
- A \(\frac{-5}{3}\)
- B \(\frac{-2}{3}\)
- C \(\frac{1}{2}\)
- D \(\frac{5}{2}\)
Question 3:
Find the roots of the equation 10x2 - 13x - 3 = 0
- A X = \(\frac{3}{5}\) or -\(\frac{1}{2}\)
- B X = \(\frac{3}{10}\) or -1
- C X = \(\frac{3}{10}\) or 1
- D X = \(\frac{1}{5}\) or \(\frac{-3}{2}\)
- E X = -\(\frac{1}{5}\) or \(\frac{3}{2}\)
Question 4:
Write the equation 2 log2x - x log2(1 + y) = 3 in a form not involving logarithms
- A 2<sup style='font-size: smaller;'>x</sup>(1 + y) = 3
- B 2<sup style='font-size: smaller;'>x</sup> - x(1 + y) = 8
- C X<sup style='font-size: smaller;'>2</sup> = 8(1 + y)<sup style='font-size: smaller;'>x</sup>
- D X<sup style='font-size: smaller;'>2</sup> - x(1 + y) = 8
- E X<sup style='font-size: smaller;'>2</sup> - (1 + y)<sup style='font-size: smaller;'>2</sup> = 8
Question 5:
If x - 1 and x + 1 are both factors of the equation x\(^3\) + px\(^2\) + qx + 6 = 0, evaluate p and q
- A -6, -1
- B 6, 1
- C 1, -1
- D 6, -6