199k views
3 votes
What is the solution set of (3x - 1)^2 = 5?


HEEEELLLLLLLLLLLPPPPPPPPP

2 Answers

4 votes

Answer:

The solution of the equation is
x=(1\pm√(5))/(3)

Explanation:

Given : Equation
(3x-1)^2=5

To find : What is the solution set of equation?

Solution :

Equation
(3x-1)^2=5

Taking root both side,


√((3x-1)^2)=√(5)


3x-1=\pm√(5)

Taking
3x-1=√(5)


3x=√(5)+1


x=(√(5)+1)/(3)

Taking
3x-1=-√(5)


3x=-√(5)+1


x=(-√(5)+1)/(3)

Therefore, the solution of the equation is
x=(1\pm√(5))/(3)

User Rashane
by
7.7k points
3 votes

*I'll be keeping the solutions in exact form*

So firstly, square root both sides. This will split the equation into two:


3x-1=√(5) \\ 3x-1=-√(5)

Next, add 1 on each side:
3x=√(5)+1 \\ 3x=-√(5)+1

Next, divide 3 on both sides, and your answers will be
x=(√(5)+1)/(3),(-√(5)+1)/(3)

User Syeberman
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories