# Solve Quadratic and rational Equations

Solve a set of questions related to quadratic and rational equations. A set of 10 questions are included and have detailed solutions.

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

## Questions with Solutions

### Question 1

Find all real solution to the quadratic equation
x2 + 2 x = - 1

### Question 2

Find all real solution to the quadratic equation
x2 + 2 = x + 5

### Question 3

Find all real solution to the equation

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

### Question 4

Find all real solution to the rational equation.
(2x + 1) / (x + 2) = x - 1

### Question 5

Find all real solution to the rational equation.
2 / (x + 1) - 1 / (x - 2) = -1

### Question 6

Find all real solution to the equation.
2(x - 2)2 - 6 = -2

### Question 7

Find all real solution to the rational equation.
x / (x + 4) = -3 / (x - 2) + 18 / (x - 2) (x + 4)

### Question 8

Find all real solution to the quadratic equation.
x2 - 3(x - 3)2 = 2

### Question 9

Find all real solution to the rational equation.

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

### Question 10

Find all real solution to the rational equation.

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

## 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.