Makakuha ng mga sagot sa iyong mga tanong mula sa komunidad ng IDNStudy.com. Hanapin ang impormasyon na kailangan mo nang mabilis at madali sa pamamagitan ng aming komprehensibo at eksaktong platform ng tanong at sagot.

find two consecutive even integer whose product is 624. use an equation in solving.

Sagot :

Let the first integer be x
Second integer be x + 2
Product of the two integers = 624

Equation:
(x) (x + 2) = 624
x² + 2x = 624

Transform to quadratic equation ax² + bx +c = 0
x² + 2x - 624 = 0

Solve by factoring or quadratic formula.

By factoring:
x² + 2x - 624 = 0
(x - 24) (x + 26) = 0
x - 24 = 0                  x + 26 = 0
x = 24    

Choose the positive root, x = 24.

First even integer: x    ⇒   24
Second integer: x + 2 = 24 + 2     ⇒  26

The two consecutive even integers are 24 and 26.

Check:
(24) (26) = 624
624 = 624