Answers to Matched Exercises

Answers to Matched Exercises

Answers to Matched Exercises in the tutorial of Solve Quadratic Equations Using Discriminants (1)






Matched Exercise 1: Find all solutions to the quadratic equation given below.


x 2 - 3 x + 2 = 0

Answer to Matched Exercise 1:

The disriminant D = 1. Since the discriminant is positive, the above equation has two real solutions

x = 1

x = 2


Matched Exercise 2. Find all solutions to the quadratic equation.


x 2/2 = - 8 - 4x

Answer to Matched Exercise 2:

Multiply all terms in the above equation by 2 and write it in standard form.

x 2 + 8x + 16 = 0


The disriminant D = 0. Since the discriminant is equal to zero, the above equation one real solution.

x = -4


Matched Exercise 3. Find all solutions to the quadratic equation.


x 2 - 4x + 5 = 0

Answer to Matched Exercise 3:

The disriminant D = -4. Since the discriminant is negative, the above equation has two imaginary solutions.

x = 2 + i

x = 2 - i

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