Question

4√3x^2-16x+5√3 factorise​

Answer 1

Answer:

Explanation:

Factorise into

(

3

x

−

1

)

(

x

−

5

)

=

0

For the left hand side to be zero, the contents of one of the brackets must evaluate to zero, hence

3

x

−

1

=

0

⇒

x

=

1

3

or

x

−

5

=

0

⇒

x

=

5

.

Alternatively you can use the quadratic formula for equations of the from

a

x

2

+

b

x

+

c

=

0

x

=

−

b

±

√

b

2

−

4

a

c

2

a

So in this case, a = 3, b = -16 and c = 5.

x

=

16

+

√

256

−

60

6

or

16

−

√

256

−

60

6

∴

x

=

5

or

x

=

1

3

u can solve like this