x^2+6x+4 Which of the following is equivalent to the expression above? Justify your answer. A) (x+3)^2+5 B) (x+3)^2-5 C) (x-3)^2+5 D) (x-3)^2-5

B) ( x+3)² - 5

Step-by-step explanation:

Given expression

               x²+6x+4

Adding '9' and subtracting '9' of given expression

      ⇒ x² + 2 (3) (x) +(3)² -(3)² +4

(a + b)² = a² + 2 a b + b²

     ⇒ ( x+3)² - 9 +4

     ⇒ ( x+3)² -5

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5

could

step-by-step explanation:

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