Question

1 added to the product of two consecutive even numbers gives 289.what are the numbers​

Answer 1

18 and 16

or

-18 and -16

Step-by-step explanation:

The two consecutive even integers are:-

±18 and ±16.

Solution:-

Let us consider two even numbers as x and y.

Then, x = y + 2 {equation 1}

given that:-

(x*y) + 1 = 289

x*y = 288

Substituging equation 1, we get:-

(y+2)y = 288

y² + 2y = 288

y² + 2y - 288 = 0

After solving this we get

y = 16 and y= -18

But both of them are right. If we substitute both x and y value seperately, we will get

x = 18 and y = 16

Also we get

x = -18 and y = -16

I hope you got the answer and I hope this helped you.

Thank you.