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Determining the Number of Solutions to A Quadratic Equation and Finding the Domains of Functions

1) What determines how many solutions you would have in a quadratic equation? Please explain.

2) How do you figure out the domain in a function?

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Answers.
1) It is the determinant of the quadratic equation a*x^2+b*x+c=0 which is equal to D=b^2-4*a*c. According to the formula of roots of the quadratic equation

x_1,2 = (-b +/- sqrt(D) ...

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Determining the Number of Solutions to A Quadratic Equation and Finding the Domains of Functions are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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