Math, asked by muhammadsaad9420, 6 days ago

solve by factorization method 2xsquare-9x-5=0​

Answers

Answered by shaheenarshi427
1

Step-by-step explanation:

The solutions are

x

=

1

2

,

x

=

5

Explanation:

2

x

2

9

x

5

=

0

We can Split the Middle Term of this expression to factorise it and thereby find the solutions.

In this technique, if we have to factorise an expression like

a

x

2

+

b

x

+

c

, we need to think of 2 numbers such that:

N

1

N

2

=

a

c

=

2

5

=

10

AND

N

1

+

N

2

=

b

=

9

After trying out a few numbers we get

N

1

=

10

and

N

2

=

1

10

1

=

10

, and

1

+

(

10

)

=

9

2

x

2

9

x

5

=

2

x

2

10

x

+

1

x

5

=

2

x

(

x

5

)

+

1

(

x

5

)

(

2

x

+

1

)

(

x

5

)

is the factorised form of the expression.

We now equate the factors to zero to obtain the solutions:

2

x

+

1

=

0

,

x

=

1

2

x

5

=

0

,

x

=

5

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