Question

One added to the product of two consecutive even numbers gives 361. Find the numbers

Answer 1

Answer:

Step-by-step explanation:

LET X & X+1 ARE THE 2 INTEGERS.

(X+X+1)^2=361

(2X+1)^2=361

4X^2+4X+1=361

4X^2+4X+1-361=0

4(X^2+X-90)=0

4(X+10)(X-9)=0

 

X+10=0

X=-10 ANS & -9

X-9=0

X=9 ANS & 10

PROOF:

(9+10)^2=361

19^2=361

361=361