Question

Factorise 6x +x² =-5

Answer 1

Step-by-step explanation:

Factors are

y

=

(

x

−

1

)

(

x

−

5

)

Explanation:

If you have a quadratic function

a

x

2

+

b

x

+

c

, to factorise it you should identify two numbers whose product is

a

c

and sum is

b

.

Here in

y

=

x

2

−

6

x

+

5

, we should identify two numbers whose product is

5

and sum is

−

6

.

Such numbers are

−

5

and

−

1

and now splitting middle term into these we get

y

=

x

2

−

5

x

−

x

+

5

or

y

=

x

(

x

−

5

)

−

1

(

x

−

5

)

=

(

x

−

1

)

(

x

−

5

)

.

Answer link

Answer 2

Answer: 6x +x² =-5

= x^2+6x+5 = 0

= x^2+x+5x+5 = 0

= x(x+1)+5(x+1) = 0

= (x+1)(x+5) is the correct answer.