Question

For the equation $\left|x^{2} - 2 x - 3\right|=b$ , which of the following statements is true?

• A. For $b < 0$ , there are no solutions
• B. For $b=0$ , there are three solutions
• C. For $0 < b < 4$ , there are two solutions
• D. For $b=4$ , there are four solutions

Answer 1

Answer: (A)

$b < 0 \rightarrow$ no solution
$b=0 \rightarrow$ two solutions
$0 < b < 4 \rightarrow$ four solutions
$b=4 \rightarrow$ three solutions