Question

Traeus is solving the quadratic equation by completing the square.

7x2 – 14x + 6 = 0

7x2 – 14x = –6

A(x2 – 2x) = –6

What is the value of A?

–14
2
6
7

Answer 1

(d) 7

Explanation:

You want to know the value of A that results from transforming 7x²-14x=-6 to A(x²-2x)=-6.

Leading coefficient

When completing the square, it is convenient to factor out the leading coefficient from the variable terms of the quadratic. That is the coefficient of 7x². That coefficient is 7.

A = 7