Question 69

What are the unique values of b and c in the equation $$4x^2 + bx + c = 0$$ if one of the roots of the equation is (-1/2)?

A. The second root is 1/2.

B. The ratio of c and b is 1.

Solution

Using statement A, sum of roots = 0 and product of roots = 0, so b = c = 0.
Using statement B, sum of roots = x - 1/2 = -b/4 and product of roots = c/4 = b/4 = -x/2
So, we can calculate the values of b and c using either statement alone

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What are the unique values of b and c in the equation $$4x^2 + bx + c = 0$$ if one of the roots of the equation is (-1/2)? A. The second root is 1/2. B. The ratio of c and b is 1.

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What are the unique values of b and c in the equation $$4x^2 + bx + c = 0$$ if one of the roots of the equation is (-1/2)?

A. The second root is 1/2.

B. The ratio of c and b is 1.