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

1 Answer

6 votes

Answer:

x ≈ - 6.49, x ≈ 12.49

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 = ±
√(90) ( add 3 to both sides )

x = 3 ±
√(90)

Then

x = 3 -
√(90) ≈ - 6.49 ( to the nearest hundredth )

x = 3 +
√(90) ≈ 12.49 ( to the nearest hundredth )

User Anup Cowkur
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