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

c

step-by-step explanation:

c

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)