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(x+(13)/(2))(x-(13)/(2))=0
How many distinct real solutions does the given equation have?
Choose 1 answer:
(A) 0
(B) 1
(C) 2
(D) 3

$\left(x+\frac{13}{2}\right)\left(x-\frac{13}{2}\right)=0$ $\newline$ How many distinct real solutions does the given equation have? $\newline$ Choose $1$ answer: $\newline$ (A) $0$ $\newline$ (B) $1$ $\newline$ (C) $2$ $\newline$ (D) $3$

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Solve a quadratic equation using the zero product property

Full solution

Q.

\left(x+\frac{13}{2}\right)\left(x-\frac{13}{2}\right)=0

\newline

How many distinct real solutions does the given equation have?

\newline

Choose

1

answer:

\newline

(A)

0

\newline

(B)

1

\newline

(C)

2

\newline

(D)

3

Question Prompt: question_prompt: ＂How many distinct real solutions does the given equation $(x+\frac{13}{2})(x-\frac{13}{2})=0$ have?＂
Set First Factor: Step $1$ : Set the first factor, $(x+\frac{13}{2})$ , equal to $0$ .
Solve for x: Step $2$ : Solve for x, so $x = -\frac{13}{2}$ . That's one solution.
Set Second Factor: Step $3$ : Now set the second factor, $x-\frac{13}{2}$ , equal to $0$ .
Solve for x: Step $4$ : Solve for x again, so $x = \frac{13}{2}$ . That's another solution.
Total Distinct Real Solutions: Step $5$ : We got two solutions, $x = -\frac{13}{2}$ and $x = \frac{13}{2}$ , so there are $2$ distinct real solutions.

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\newline

\begin{tabular}{lllll}

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x

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