Question

Solve for x write the smaller solution first and the larger solution second. Round to two decimal places (x+8)^2-7=0

Answer 1

x ≈ - 10.65, x ≈ - 5.35

Explanation:

Given

(x + 8)² - 7 = 0 ( add 7 to both sides )

(x + 8)² = 7 ( take the square root of both sides )

x + 8 = ±
`√(7)` ( subtract 8 from both sides )

x = - 8 ±
`√(7)` , thus

x = - 8 -
`√(7)` ≈ - 10.65

x = - 8 +
`√(7)` ≈ - 5.35