Which of the following quadratic equations has the sum of its roots as 4

This question is about quadratic equations. The question asks which of the following quadratic equations has a sum of its roots as 4.

In general, for a quadratic equation of the form ax^2 + bx + c = 0, the sum of the roots is represented by -b/a.

Let’s analyze the answer choices one by one:

(a) 2x^2 – 4x + 8 = 0

If we were to solve this equation, we would find that the sum of the roots is -(-4)/2 = 2.

Discard (a).

(b) -x^2 + 4x + 4 = 0

If we were to solve this equation, we would find that the sum of the roots is -4/(-1) = 4. This is the answer.

(c) √2x^2 – (4/√2)x + 1 = 0

If we were to solve this equation, we would find that the sum of the roots is -(-4/√2) / √2 = 2.

Discard (c).

(d) 4x^2 – 4x + 4 = 0

If we were to solve this equation, we would find that the sum of the roots is -(-4)/4 = 1.

Discard (d).

Therefore, the quadratic equation that has a sum of its roots as 4 is -x^2 + 4x + 4 = 0.