Question

Answer ASAP please

For 50 Points!
An equation and the first step in its solution are shown.
Equation: x^2 +8x+5
Step 1: x^2 +8x+h=−5+h
What value of h is used to solve the equation by the method of completing the square? Show your work! Will be in fraction-like form

Answer 1

h = 16 || solution after squaring:
`x = -0.683` or
`x = -7.32`

steps by fieranswererft:

Given:
`x^2+8x+5=0`

Take half of the x term and square it

• 
  `[8*(1)/(2) ]^2=16`

• 
  `x^2+8x+16=- 5+16`

• 
  `(x+4)^2=-5+16`

• 
  `(x+4)^2=11`

• 
  `x+4 = \pm √(11)`

• 
  `x = \pm √(11)-4`

• 
  `x = -0.683` or
  `x = -7.32`