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emmainna [20.7K]
3 years ago
10

Solve (x - 3)^2+7=97, where X is a real number. Round your answer to the nearest hundredth.​

Mathematics
1 answer:
Eddi Din [679]3 years ago
6 0

Answer:

x ≈ - 6.49, x ≈ 12.49

Step-by-step explanation:

Given

(x - 3)² + 7 = 97 ( subtract 7 from both sides )

(x - 3)² = 90 ( take the square root of both sides )

x - 3 = ± \sqrt{90} ( add 3 to both sides )

x = 3 ± \sqrt{90}

Then

x = 3 - \sqrt{90} ≈ - 6.49 ( to the nearest hundredth )

x = 3 + \sqrt{90} ≈ 12.49 ( to the nearest hundredth )

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