Respuesta :

wegnerkolmp2741o

Answer:

Smallest x  -14

Larger x   0

Step-by-step explanation:

(x+7)^2 -49=0

Add 49 to each side

(x+7)^2 -49+49=0+49

(x+7)^2 = 49

Take the square root of each side

sqrt((x+7)^2) = ±sqrt(49)

x+7 = ±7

Subtract 7 from each side

x+7-7 = -7±7

x = -7±7

x = -7 -7       x = -7+7

x = -14             x =0

Smallest x  -14

Larger x   0

iloveonedirection

Answer:

Smaller [tex]x=-14[/tex]

Larger [tex]x=0[/tex]

Step-by-step explanation:

[tex](x+7)^2-49=0[/tex]

[tex](x+7)^2=49[/tex] (add 49 to both sides)

[tex]\sqrt{(x+7)^2} =\sqrt{49}[/tex]

Knowing that [tex]7*7=49[/tex] and [tex]-7*-7=49[/tex]

[tex]x+7=7[/tex] or [tex]x+7=-7[/tex]

Solving for [tex]x+7=7[/tex] first...

[tex]x=0[/tex] (subtract 7 from both sides)

Solving for [tex]x+7=-7[/tex]

[tex]x=-14[/tex] (subtract 7 from both sides)

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