QUADRATIC EQUATIONS
Reading edition
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:
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Review the solution by factoring. Solve by it the following:
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Solve, by factoring, these equations, which are not quadratics:
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Review the solution by formula. Solve by it the following:
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Solve graphically:
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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:
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4. (Let and substitute.)
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Solve and check:
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Give results by inspection:
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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.