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