Mathematics

Solve the equation: 3a + 10 = a(^2)

Solve the equation: 3a + 10 = a(^2)

  • A.
    a = 5 or a = 2
  • B.
    a = -5 or a = 2
  • C.
    a = 10 or a = 0
  • D.
    a = 5 or a = 0
  • E.
    a = 5 or a = -2
Correct Answer: Option E
Explanation

3a + 10 = a(^2)

a(^2) – 3a – 10 = 0

a(^2) – 5a + 2a – 10 = 0

a(a – 5) + 2(a – 5) = 0

(a – 5)(a + 2) = 0

a = 5 or a = -2.