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the coefficient of the quadratic term and the coefficient of the linear term of a quadratic are equal. If the quadratic ahs a double root, what is the ratio of the coefficient of the quadratic term to the constant term?

Respuesta :

The ratio of the coefficient of the quadratic term to the constant term is; a/b = 4

How to interpret quadratic equation formula?

We are told that;

1) The coefficient of the quadratic term and the coefficient of the linear term of a quadratic are equal.

2) the quadratic has a double root

Now, for the quadratic equation to be a perfect square, it must be of the form ax² + ax + b and also for this to be a perfect square, it must be (√ax+ √b)² which is ax² + b + 2(√ab)x.

Thus, we have 2√ab = a

Square both sides to get;

4ab = a²

Taking square root of both sides gives us;

a/b = 4.

Thus, the ratio of the coefficient of the quadratic term to the constant term is; a/b = 4

Read more about Quadratic Equation Formula at; https://brainly.com/question/8649555

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