X^2-5x+6=0 quadratic form

x = 3,2

Step-by-step explanation:

solve for x by finding a,b,c and then apply the quadratic formula.

x

=

−

3

x

=

−

2

Explanation:

The quadratic formula is:

⇒

x

=

−

b

±

√

b

2

−

4

a

c

2

a

for a quadratic of the form

a

x

2

+

b

x

+

c

.

We have

a

=

1

,

b

=

5

, and

c

=

6

.

x

=

−

5

±

√

5

2

−

4

(

1

)

(

6

)

2

(

1

)

x

=

−

5

±

√

25

−

24

2

x

=

−

5

±

√

1

2

x

=

−

5

±

1

2

Hence,

x

=

−

6

2

=

−

3

and

x

=

−

4

2

=

−

2

I'm not sure why you wanted to use the quadratic formula, but you could just factor the quadratic:

x

2

+

5

x

+

6

=

(

x

+

3

)

(

x

+

2

)

=

0

x

+

3

=

0

→

x

=

−

3

and

x

+

2

=

0

→

x

=

−

2

Step-by-step explanation: