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)