Question

Which of the following are solutions to the equation below?

Check all that apply.
(3x - 5)² = 19
☐A. X=
14
B. X= -√19+5
□ C. x= -√19 +5
3
□ D. X = √19 +5
3
DEX=√14
OF X= √19+

Answer 1

`\sf x = (√(19)+5)/(3) \ ; \ x = (-√(19)+5)/(3)`

Explanation:

(3x - 5)² = 19

To find the solution for the equation, take square root on both sides.

`\sf 3x - 5 = \± √(19)\\\\ Add \ 5 \ to \ both \ sides \\\\ 3x = \±√(19) + 5\\\\ Divide \ both \sides \ by 3\\\\ x = (\±√(19)+5)/(3)\\\\x = (√(19)+5)/(3) \ ; \ x = (-√(19)+5)/(3)`