Question

What is the solution set of (3x - 1)2 = 5?

Answer 1

Answer:

7/6

Step-by-step explanation:

(3x-1)2=5

6x-2=5

6x=5+2

X=7/6

Answer 2

Answer:

$\Rightarrow \Huge\boxed{\mathsf{X=\frac{7}{6}=1.16 }}$

Step-by-step explanation:

Isolate x on one side of the equation.

DISTRIBUTIVE PROPERTY:

A(B+C)=AB+AC

A(B-C)=AB-AC

(3x-1)2=5

(3x-1)*2/2=5/2 (First, divide by 2 from both sides.)

(3x-1)*2 (Solve.)

(3x-1)*2=3x-1

3x-1=5/2

3x-1+1=5/2+1 (Next, add 1 from both sides.)

5/2+1 (Solve.)

5/2+1=7/2

3x=7/2

3x/3=7/2/3 (Then, divide by 3 from both sides.)

7/2/3 (Solve.)

7/2/3=7/6

7/6=1.16

x=7/6=1.16

$\Rightarrow \Large\boxed{\mathsf{X=\frac{7}{6}=1.16 }}$

Therefore, the final answer is x=7/6=1.16.