Question

**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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