OAU Post-UTME Mathematics 2013 Question 13

Question 13

Indices

Solve the equation 5x² = 25x+4

  1. A.−4, 2
  2. B.−4, −2
  3. C.4, −2
  4. D.4, 2
Show the answer and explanation

Answer: C (4, −2)

Explanation

25x+4 = 52x+8, so x² = 2x + 8, x² − 2x − 8 = 0, (x − 4)(x + 2) = 0: x = 4 or −2.