QUADRATIC EQUATIONS

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1. Define a quadratic equation; a pure quadratic; an affected (or complete) quadratic; an equation in the quadratic form.

2. Solve the pure quadratic

Review the first (or usual) method of completing the square. Solve by it the following:

3.

4.

5.

6.

Review the solution by factoring. Solve by it the following:

7.

8.

9.

10.

Solve, by factoring, these equations, which are not quadratics:

11.

12.

13.

Review the solution by formula. Solve by it the following:

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Solve graphically:

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19.

Reference: The chapter on Quadratic Equations in any algebra (first part of the chapter).

1. Solve by three methods—formula, factoring, and completing the square:

Review equations in the quadratic form and solve:

2.

3.

4. (Let and substitute.)

5.

6.

Solve and check:

7.

8.

9.

Give results by inspection:

10.

11.

12. How many gallons each of cream containing 33% butter fat and milk containing 6% butter fat must be mixed to produce 10 gallons of cream containing 25% butter fat?

13. I have $6 in dimes, quarters, and half-dollars, there being 33 coins in all. The number of dimes and quarters together is ten times the number of half-dollars. How many coins of each kind are there? (College Entrance Board.)

Reference: The last part of the chapter on Quadratic Equations in any algebra.


                                                                                                                                                                                                                                                                                                           

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