141k views
5 votes
2x2 - 2x + 3 = 0
Find the number of real solutions using the discriminant.

2 Answers

0 votes

Explanation:

using the formulas for the discriminant (b^2-4ac=0)

=2^2-4(2)(3)=0

=4-24

= -20

therefore the equation has no real roots because -20 <0

User Leo Policastro
by
8.2k points
3 votes

Answer:

Explanation:

Use the quadratic formula to find the solutions.

b

±

b

2

4

(

a

c

)

2

a

Substitute the values

a

=

2

,

b

=

2

, and

c

=

3

into the quadratic formula and solve for

x

.

2

±

(

2

)

2

4

(

2

3

)

2

2

Simplify.

Tap for more steps...

x

=

1

±

7

2

The result can be shown in multiple forms.

Exact Form:

x =

1

±

7

2

Decimal Form:

x

=

1.82287565

,

0.82287565

User Muhy
by
8.2k 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