Question

2x^2+23x+63=0
solve this by factorisation method​

Answer 1

Answer:

When solving a quadratic equation, try to factorise the trinomial first:

2

x

2

+

23

x

+

63

=

0

In this case, find factors of

2

and

63

such that their products ADD to

23

×

×

x

2

and

63

x

.

×

x

↓

and

↓

×

×

x

2

w

w

w

w

w

9

→

1

×

9

=

9

×

×

x

1

w

w

w

w

w

7

→

2

×

7

=

14

−−

×

×

×

.

×

×

×

×

×

×

×

×

23

2

x

2

+

23

x

+

63

=

0

(

2

x

+

9

)

(

1

x

+

7

)

=

0

Either bracket can be equal to

0

If

2

x

+

9

=

0

→

x

=

−

9

2

If

x

+

7

=

0

→

x

=

−

7