Question

find the root 2x^2+3x+2=0

Answer 1

Answer:

We can use the quadratic equation to solve this problem:

The quadratic formula states:

For

a

x

2

+

b

x

+

c

=

0

, the values of

x

which are the solutions to the equation are given by:

x

=

−

b

±

√

b

2

−

(

4

a

c

)

2

⋅

a

Substituting:

2

for

a

3

for

b

−

2

for

c

gives:

x

=

−

3

±

√

3

2

−

(

4

⋅

2

⋅

−

2

)

2

⋅

2

x

=

−

3

±

√

9

−

(

−

16

)

4

x

=

−

3

±

√

9

+

16

4

x

=

−

3

−

√

25

4

and

x

=

−

3

+

√

25

4

x

=

−

3

−

5

4

and

x

=

−

3

+

5

4

x

=

−

8

4

and

x

=

2

4

x

=

−

2

and

x

=

1

2