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14. Solve each equation by any method of your choice. (6 points)


a.

x^2+10x+24=0




b. x^2+3x-28=0




c. 6x^2+11x-35=0




d. 5x^2-180=0




e. x^2-5x=2=0



f. 3x^2+5x-12=0




15. 

1 pt

State three terms that mean "solution" for quadratic equations.





16. Explain how you can use the graph of the quadratic function f(x) to solve the equation f(x) = 0.




17. Write the formula for the discriminant.



18. State the types of roots for a quadratic equation, explaining how the discriminant helps you determine the type. (2 points)



If. . .


If. . .


If. . .


If. . .


If. . .


19. Define the imaginary unit, i.




20. Write the standard form of a complex number, giving two examples. (1 point)

1 pt



21. Evaluate the discriminant for each equation, then use it to determine the nature of the roots for each quadratic equations. (3 points)


a. x^2+4x+5=0




b. x^2-4x-5=0




c. 4x^2+20x+25=0

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