Question

In a quadratic function f(x) = ax² + bx + c. It is known that f(1) = f(4) and f(2) = 0, then what is the second root of the expression?

• A. 3
• B. 5
• C. 6
• D. –1
• E. –2

Answer 1

The correct option is A 3

option (a)

Solution: Let 'a' be the second root with '2' being the first root.

Then the given equation can be written as: (x-2)(x-a)=0--------------(1)

Now, we know that f(1)=f(4)-------------------(2)

Using (2) in (1):

(1-2)(1-a)=(4-2)(4-a)

Therefore, a=3 is the correct answer.