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barxatty [35]
3 years ago
13

10 points!!! Please show work!!

Mathematics
2 answers:
mamaluj [8]3 years ago
8 0

Answer:

Smaller x=-14

Larger x=0

Step-by-step explanation:

(x+7)^2-49=0

(x+7)^2=49 (add 49 to both sides)

\sqrt{(x+7)^2} =\sqrt{49}

Knowing that 7*7=49 and -7*-7=49

x+7=7 or x+7=-7

Solving for x+7=7 first...

x=0 (subtract 7 from both sides)

Solving for x+7=-7

x=-14 (subtract 7 from both sides)

andrezito [222]3 years ago
3 0

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

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