Solve Quadratic Equations With Rational Expressions - Problems

Solve a set of problems, with detailed solutions, related to quadratic and rational equations. A set of 10 problems in this page have detailed solutions. Another 50 questions from the applet below have answers.

You may prefer to go through a tutorial on Equations with Rational Expressions before you start solving the following equations.

Problem 1: Find all real solution to the quadratic equation

x2 + 2x = -1


Detailed Solution.

Problem 2: Find all real solution to the quadratic equation

x2 + 2 = x + 5


Detailed Solution.

Problem 3: Find all real solution to the equation

- ( x + 2) (x - 1) = 3


Detailed Solution.

Problem 4: Find all real solution to the rational equation.

(2x + 1) / (x + 2) = x - 1


a:   (1 + sqrt(13) / 2 and (1 - sqrt(13) / 2

Detailed Solution.

Problem 5: Find all real solution to the rational equation.

2 / (x + 1) - 1 / (x - 2) = -1


Detailed Solution.

Problem 6: Find all real solution to the equation.

2(x - 2)2 - 6 = -2


Detailed Solution.

Problem 7: Find all real solution to the rational equation.

x / (x + 4) = -3 / (x - 2) + 18 / (x - 2) (x + 4)


Detailed Solution.

Problem 8: Find all real solution to the quadratic equation.

x2 - 3(x - 3)2 = 2


Detailed Solution.

Problem 9: Find all real solution to the rational equation.

1 / (x - 4) + 1 / (x + 4)= x2 / (x2 - 16)


Detailed Solution.

Problem 10: Find all real solution to the rational equation.

-x / (x + 3) - x / (x - 3) = - 4 / (x2 - 9) - 1 / (x + 3)


Detailed Solution.




Solve More Quadratic Equations With Rational Expressions - Applet

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1 - click on the button above "click here to start" and MAXIMIZE the window obtained.

2 - click on "start" on the main menu.

3 - answer the question by checking a,b,c,d or e in the lower part of the window.

You can review your answers and change them by checking the desired letter. Once you finish the test, press "finish" and you get a table with your answers and the right answers to compare with.

To start the test with another set of questions, press "reset".

More references and links to tutorials and problems on equations.

Solve Quadratic Equations Using Discriminants.

Tutorial on Equations of the Quadratic Form.

Math Problems, Questions and Online Self Tests.

More Intermediate and College Algebra Questions and Problems with Answers.

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