Solve the inequality and express your answer in interval notation x^2+8x-7<0

Mathematics

1 answer:

balandron [24]3 years ago

4 0

Answer:

(-8.8, 0.8)

Step-by-step explanation:

x^2+8x-7<0
x^2 + 8x + 16 - 23 < 0
(x + 4)^2 < 23
|x + 4| < √23 ≈ 4.8

1 .

x + 4 < 4.8

x < 0.8

-(x + 4) < 4.8

x + 4 > - 4.8

x > - 8.8

<u>Combination of the two intervals:</u>

x = (-8.8, 0.8)

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