Select the correct answer. What are the solutions of this quadratic equation? - 3x2 + 1 = 3x - 2

Answer: Answer:

x

=

-

1

2

+

-

1

2

5

or

x

=

-

1

2

+

1

2

5

Step-by-step explanation:

Let's solve your equation step-by-step.

-

3

x

2

+

1

=

3

x

-

2

Step 1: Subtract 3x-2 from both sides.

-

3

x

2

+

1

-

(

3

x

-

2

)

=

3

x

-

2

-

(

3

x

-

2

)

-

3

x

2

-

3

x

+

3

=

0

Step 2: Use quadratic formula with a=-3, b=-3, c=3.

x

=

-

b

±

b

2

-

4

a

c

2

a

x

=

-

(

-

3

)

±

(

-

3

)

2

-

4

(

-

3

)

(

3

)

2

(

-

3

)

x

=

3

±

45

-

6

x

=

-

1

2

+

-

1

2

5

or

x

=

-

1

2

+

1

2

5