Question

what are the two consecutive odd numbers that when multiplied the result is 39? is this a quadratic or not​

Answer 1

Answer:

solution set

1

:

19

and

21

solution set

2

:

−

21

and

−

19

Explanation:

1

. Make

2

let statements to represent the variables to be used in the algebraic equation.

Let

x

represent the first number.

Let

x

+

2

represent the second number.

2

. Form an equation.

x

(

x

+

2

)

=

399

3

. Isolate for

x

.

x

2

+

2

x

=

399

x

2

+

2

x

−

399

=

0

4

. Factor the quadratic trinomial.

(

x

−

19

)

(

x

+

21

)

=

0

5

. Set each factor to

0

to determine the possible values for

x

.

x

−

19

=

0

X

X

X

X

X

X

X

X

x

+

21

=

0

x

=

19

X

X

X

X

X

X

X

X

X

X

x

=

−

21

6

. Substitute

x

=

19

,

−

21

into

x

+

2

to determine the second numbers.

x

+

2

X

X

X

X

X

X

X

X

X

X

x

x

+

2

=

19

+

2

X

X

X

X

X

X

X

X

=

−

21

+

2

=

21

X

X

X

X

X

X

X

X

X

X

=

−

19

∴

, the numbers are

19

and

21

or

−

21

and

−

19

Answer 2

Answer:

yes

Explanation:

two consecutive odd numbers are

(x+1) and (x+2)

(x+1)(x+2)=39

x^2+3x-37=0

so it is quadratic equation