Question

3(x – 6)^2 – 26 = 37

Answer 1

Answers (there's 2):

1. 
   `x = 6 - √(21)`
2. 
   `x = 6 + √(21)`

I hope this helps!

Answer 2

x ≈ 10.58, x ≈ 1.42

Explanation:

Given

3(x - 6)² - 26 = 37 ( add 26 to both sides )

3(x - 6)² = 63 ( divide both sides by 3 )

(x - 6)² = 21 ( take the square root of both sides )

x - 6 = ±
`√(21)` ( add 6 to both sides )

x = 6 ±
`√(21)` ← exact solutions, or approximate solutions

x = 6 +
`√(21)` ≈ 10.58 ( to 2 dec. laces )

x = 6 -
`√(21)` ≈ 1.42 ( to 2 dec. places )