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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