Question

If the factors of 3x²-8x+ 4 are (ax+b), x+b then the value of a and b are

3, 2

-3,2

3,-2

-3,-2

​

Answer 1

Step-by-step explanation:

Use the formula:

x

=

−

b

±

√

b

2

−

4

a

c

2

a

to find:

x

=

4

±

√

10

3

Explanation:

3

x

2

−

8

x

+

2

=

0

is of the form

a

x

2

+

b

x

+

c

=

0

, with

a

=

3

,

b

=

−

8

and

c

=

2

This has roots given by the quadratic formula:

x

=

−

b

±

√

b

2

−

4

a

c

2

a

=

8

±

√

(

−

8

)

2

−

(

4

⋅

3

⋅

2

)

2

⋅

3

=

8

±

√

64

−

24

6

=

8

±

√

40

6

=

8

±

√

2

2

⋅

10

6

=

8

±

2

√

10

6

=

4

±

√

10

3

Answer 2

Answer:

3,-2 is the correct answer.

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