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AssignmentMultiple Choice

Solving Quadratic Equations by Factoring

Question 3 • FL-1200330-Algebra 2 Sem 1 - Flex

How can you describe the solution set of the equation 16x2 - 8x + 1 = 0?

Answer
A
There are two different real solutions because the expression has two different factors.
B
There are two different real solutions because the expression has three terms.
C
There is one real solution because the expression’s factors are the same.
D
There are no real solutions because the expression cannot be factored.

Explanation

Factor the expression: 16x² − 8x + 1 = (4x − 1)(4x − 1) = (4x − 1)². Setting the factor equal to zero gives 4x − 1 = 0, so x = 1/4; the repeated factor means there is one distinct real solution. Therefore, the correct choice is “There is one real solution because the expression’s factors are the same.”

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