Question

find discriminate x²+6x-1=0 ​

Answer 1

Answer:

Discriminate (D)

D = √b²-4ac

b=6 ; a=1 ; c=(-1)

D = √36+4

D=√40

D=2√10

Answer 2

Step-by-step explanation:

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

The discriminate is the portion of the quadratic equation within the radical:

b

2

−

4

a

c

If the discriminate is:

- Positive, you will get two real solutions

- Zero you get just ONE solution

- Negative you get complex solutions

To find the discriminant for this problem substitute:

9

for

a

6

for

b

1

for

c

6

2

−

(

4

⋅

9

⋅

1

)

⇒

36

−

36

⇒

0

Because the Discriminant is

0

there is just ONE solution for this equation.