# MAT 117 Week 7 - DQ 1 - 7819

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How do you know if a quadratic equation will have one, two, or no solutions?

A2 – 4bc = the discriminate:

You have two complex number solutions if it is negative. You take the square root of a neg. number if zero, there will be complex conjugates since there will be two non real complex number solutions. You will have two real number solutions if positive.

How do you find a quadratic equation if you are only given the solution?

If the solutions are real numbers such as a and b the equation would be x = c (y – a) (y – b)

Is it possible to have different quadratic equations with the same solution?

Yes it is possible because the value of c may change.

Provide your classmate’s with one or two solutions with which they must create a quadratic equation.

X = 6, X = 9

Solution Description

How do you know if a quadratic equation will have one, two, or no solutions?

A2