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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

Respuesta :

fieryanswererft

Answer:

h = 16  ||    solution after squaring: [tex]x = -0.683[/tex] or [tex]x = -7.32[/tex]

steps by fieranswererft:

Given: [tex]x^2+8x+5=0[/tex]

Take half of the x term and square it

  • [tex][8*\frac{1}{2} ]^2=16[/tex]

  • [tex]x^2+8x+16=- 5+16[/tex]

  • [tex](x+4)^2=-5+16[/tex]

  • [tex](x+4)^2=11[/tex]

  • [tex]x+4 = \pm \sqrt{11}[/tex]

  • [tex]x = \pm \sqrt{11}-4[/tex]

  • [tex]x = -0.683[/tex] or [tex]x = -7.32[/tex]

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