Question

the product of two integers is -2585. one of the integer is 235. find the other number.

pls tell the answer with method

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Answer 1

Answer:

Call x a number

The number (2x + 1) should be an odd number no matter what x is.

The consecutive odd number to (2x + 1) will be: (2x + 3).

There for:

(2x + 1)(2x + 3) = 143

4

x

2

+

6

x

+

2

x

+

3

=

143

4

x

2

+

8

x

−

140

=

0

x

2

+

2

x

−

35

=

0

Solve this quadratic equation for x. Find 2 numbers knowing sum (-2) and product (-35). They are x = 5 and x = -7 (rejected as negative)

The odd number is N = (2x + 1) = 10 + 1 = 11

The consecutive odd number is: N + 2 = (2x + 3) = 10 + 3 = 13

Their product is (11 x 13) = 143. OK

Answer 2

Step-by-step explanation:

let 1st number = 235

2nd number = x

x = product of two integers / 1st number

x = -2585 / 235

x = -11