contestada

The first three steps of completing the square to solve the quadratic equation x^2 + 8x +5 = 0, are shown below.

Step 1: x^ + 8x= -5
Step 2: x^2 + 8x + 16 = -5 + 16
Step 3: (x + 4)^2 = 11

What are the next 3 steps?

Respuesta :

Answer:

see explanation

Step-by-step explanation:

step 4 take the square root of both sides

[tex]\sqrt{(x+4)^2}[/tex] = ± [tex]\sqrt{11}[/tex]

x + 4 = ± [tex]\sqrt{11}[/tex]

step 5 subtract 4 from both sides

x = - 4 ± [tex]\sqrt{11}[/tex]

step 6 solve for x

x = - 4 - [tex]\sqrt{11}[/tex] or x = - 4 + [tex]\sqrt{11}[/tex]


wegnerkolmp2741o

Answer:

4.  Take the square root of each side

5.  Subtract 4 from each side

6.  Give the positive and negative answer

Step-by-step explanation:

Step 1: x^ + 8x= -5

Step 2: x^2 + 8x + 16 = -5 + 16

Step 3: (x + 4)^2 = 11

Take the square root of each side:  sqrt((x+4)^2) = ±sqrt(11)

                                                                   x+4  = ±sqrt(11)

Subtract 4 from each side                         x+4-4 = -4 ±sqrt(11)

                                                                         x = -4 ±sqrt(11)

List both answers           x = -4+sqrt(11), x= -4-sqrt(11)


Otras preguntas