Question

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

Answer 1

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