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# Week 7 DQ1 - and the equation is going to be If you are...

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How do you know if a quadratic equation will have one, two, or no solutions? First reduce the quadratic equation to the form ax^2+bx+c, and then get the values for a, b, and c. thereafter plug in the values of a, b and c and solve for the value of b^2-4ac. this value is called the discriminant of the quadratic equation. If the discriminant is equal to 0, then the Quadratic Equation has one solution, if it is >0, then it has 2 solutions, and if it is <0, it has no real solution. How do you find a quadratic equation if you are only given the solution? If we have two solutions:

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Unformatted text preview: and , the equation is going to be: . If you are given that there is only one solution to a quadratic equation then the equation is of the form: Is it possible to have different quadratic equations with the same solution? Explain. It is possible for two quadratic equations to have the same solutions. An example of that would be -x^2 + 4 and x^2 - 4. Each of these equations have roots at x = -2 and 2. Provide your classmate’s with one or two solutions with which they must create a quadratic equation. My solution for the class to solve is: x=3...
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