Question

solve the following by any method: 8x2-2x-3=0​

Answer 1

Answer:

Given:

8

x

2

+

2

x

−

3

=

0

This is in the form  

a

x

2

+

b

x

+

c

=

0

with  

a

=

8

,  

b

=

2

and  

c

=

−

3

.

It has roots given by the quadratic formula:

x

=

−

b

±

√

b

2

−

4

a

c

2

a

=

−

2

±

√

2

2

−

(

4

⋅

8

⋅

(

−

3

)

)

2

⋅

8

=

−

2

±

√

4

+

96

16

=

−

2

±

√

100

16

=

−

2

±

10

16

That is:

x

=

−

2

+

10

16

=

8

16

=

1

2

or:

x

=

−

2

−

10

16

=

−

12

16

=

−

3

4

Step-by-step explanation:

Answer 2

Step-by-step explanation:

8x²-2x-3=0

8x²-6x-4x-3=0

2x(4x-3)-1(4x+3)=0

(2x-1)(4x+3)=0

x=y2,-3/4