Question

3(x – 6)^2 – 26 = 37

Answer 1

Answer:

x ≈ 10.58, x ≈ 1.42

Step-by-step 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 = ± $\sqrt{21}$ ( add 6 to both sides )

x = 6 ± $\sqrt{21}$ ← exact solutions, or approximate solutions

x = 6 + $\sqrt{21}$ ≈ 10.58 ( to 2 dec. laces )

x = 6 - $\sqrt{21}$ ≈ 1.42 ( to 2 dec. places )

Answer 2

Answers (there's 2):

1. $x = 6 - \sqrt{21}$  
2. $x = 6 + \sqrt{21}$  

I hope this helps!