The product of two consecutive even integers is 360. Find the integers.
Answers
Answer:
Step-by-step explanation: let the first even integer be x then second =x +2
As per ques
x*(x+2)= 360
x^2+2x-360=0
x^2+ 20x-18x- 360=0
x(x+20)-18( x+20)=0
(x-18)(x+20)=0
x = 18 x= -20( neglecting as this negative term)
Second term 18+2 =20
Hello !!
We can define the answer from logical reasoning.
18 × 18 = 324 (not consecutive even)
20 × 20 = 400 (not consecutive even)
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|_______ > 18 × 20 = 360 (consecutive even).
The other even number not can to be less than 18, because the result is less than 360 and not can to be greater than 20 , because the result is greater than 360.
Example :
Less than 18.
18 × 16 = 288
Greater than 20.
18 × 22 = 396
With all this reasoning done, we come to the conclusion that the second even number is 20.
18 × 20 = 360
Final result : the numbers are 18 and 20.
I hope I have collaborated !