Respuesta :

bekkarmahdi702

Step-by-step explanation:

our equation is x²+16x = -44

  • x²+16x= -44
  • x² is the first term so weill have in the middle 2*x* a number
  • x²+2*x*8 = -44
  • the third term is 8² wich is 64 so we will add it in both sides
  • x²+2*x*8+64 = -44+64
  • (x+8)² = 20

Now that we have completed the perfect square let's solve the equation

  • (x+8)² = 20
  • x+8 = [tex]\sqrt{20}[/tex]or x+8= -[tex]\sqrt{20}[/tex]
  • x = -8+[tex]\sqrt{20}[/tex] or x =  -8- [tex]\sqrt{20}[/tex]

so the first answer is the correct one

64; 8 +/- [tex]\sqrt{20}[/tex]

princessbee47
Rewrite the equation
x^2+16x=-44

Complete the square on the left hand side and add the answer to the right side to balance it
(16/2)^2=(8)^2=64
x^2+16x+64=-44+64

Simplify the equation
(x+8)^2=20

Find the roots of both sides
x+8=4.5 to nearest tenth
x=4.5-8
x=-3.5

Hope it helps

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