Question

Find the solution set. 7x^2-5x-2=0

Answer 1

Answer:

x

=

 

−

b

±

√

b

2

−

4

a

c

2

a

, we get that

x

=

−

2

,

0.6

Explanation:

Rearrange the equation so that it becomes:

5

x

2

+

7

x

−

6

=

0

The quadratic formula is:

x

=

−

b

±

√

b

2

−

4

a

c

2

a

In our equation above,

a

=

5

b

=

7

c

=

−

6

Plugging these values into the quadratic equation gives:

x

=

−

7

±

√

7

2

−

4

(

5

)

(

−

6

)

2

(

5

)

x

=

−

7

±

√

49

+

120

10

x

=

−

7

±

√

169

10

x

=

−

7

±

13

10

x

=

−

2

,

0.6