Question

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4 students work on one exercise consisting of solving a quadratic equation each of them using a different method: graphing, factoring, completing the square and quadratic formula. Check all the options that apply

-Any quadratic equation with real or complex solutions

-Each student will find a different set of solutions because each one is using a different method.

-If the solutions are complex, completing the square and quadratic formula would be the best approach

-If the solutions are not real, the student finding the solutions by graphing will not be able to solve the equation

-If the solutions are irrational numbers, the student who is solving by graphing will only be able to find an approximation to the solutions.

Answer 1

The correct options are;

-If the solutions are complex, completing the square and quadratic formula would be the best approach

-If the solutions are irrational numbers, the student who is solving by graphing will only be able to find an approximation of the solutions

Explanation:

Whereby the solution of the quadratic equation are complex, finding the solution graphically or by factoring may be difficult, due to the unusual nature of the equations and the relationship between the x and y-values

If the solution of the quadratic equation are irrational numbers which are numbers that are not expressible as a simple fraction, then the student solving the quadratic equation by graphing will make use of approximations and also find an approximate solution.