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.