Question

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

Answer 1

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 )