First, let's rewrite the equation in standard form. The equation 2x(x + 2) = 1 can be rewritten as 2x^2 + 4x - 1 = 0.

The sum of the reciprocals of the roots of a quadratic equation ax^2 + bx + c = 0 is given by -b/a.

Here, a = 2 and b = 4.

So, the sum of the reciprocals of the roots is -b/a = -4/2 = -2.

Therefore, the correct answer is B. -2.

Question

First, let's rewrite the equation in standard form. The equation 2x(x + 2) = 1 can be rewritten as 2x^2 + 4x - 1 = 0.

The sum of the reciprocals of the roots of a quadratic equation ax^2 + bx + c = 0 is given by -b/a.

Here, a = 2 and b = 4.

So, the sum of the reciprocals of the roots is -b/a = -4/2 = -2.

Therefore, the correct answer is B. -2.

Knowee AI · Accepted Answer

First, let's rewrite the equation in standard form. The equation 2x(x + 2) = 1 can be rewritten as 2x^2 + 4x - 1 = 0.

The sum of the reciprocals of the roots of a quadratic equation ax^2 + bx + c = 0 is given by -b/a.

Here, a = 2 and b = 4.

So, the sum of the reciprocals of the roots is -b/a = -4/2 = -2.

Therefore, the correct answer is B. -2.

What is the sum of the reciprocal of the roots of 2x(x + 2) = 1?1 pointA. –4B. –2C. 2D. 4