Question

Please help solve the problem: (x+7)^2-7=25

Answer 1

Answer:

x=−7+4√2 or x=−7−4√2

Step-by-step explanation:

x^2+14x+42=25

x^2+14x+42−25=25−25

x^2+14x+17=0

For this equation: a=1, b=14, c=17

1x^2+14x+17=0

Step 3: Use quadratic formula with a=1, b=14, c=17.

x=

−b±√b2−4ac

2a

x=

−(14)±√(14)2−4(1)(17)

2(1)

x=

−14±√128

2

x=−7+4√2 or x=−7−4√2

pls give brainliest :))

Answer 2

Answer:

x = -7 ±4sqrt(2)

Step-by-step explanation:

(x+7)^2-7=25

Add 7 to each side

(x+7)^2-7+7=25+7

(x+7)^2=32

Take the square root of each side

sqrt((x+7)^2)=±sqrt(32)

x+7=±sqrt(32)

Subtract 7 from each side

x+7-7 = -7 ±sqrt(32)

x = -7 ±sqrt(32)

We can simplify the sqrt (32)

x = -7 ±sqrt(16*2)

x = -7 ±4sqrt(2)