Question

One number is 26 more than another. Their product is -169.

Answer 1

Explanation:

Here, according to the question,

let one number be x and another number be x +26 as given in question that the another number is more than 26.

And their product is given as -169.

now, as per the condition of question,

x × (x+26)= -169

or, x^2+26x= -169

or, x^2+26x+169=0

or, (x+13)^2=0

or, (x+13)=0 (root under 0= 0)

or, x=-13.

Therefore, thevalue of x is -13.

And the value of (x+26) is (-13+26)=13.

Checking, 13×-13=-169.

Therefore, the 2 numbers are -13 and 13.

hope it helps...

Answer 2

One number = x

One number more 26 = x + 26

Their product is -169

x . (x + 26) = -169

x² + 26x = -169

x² + 26x + 169 = 0

x² + 2.13.x + 13² = 0

It can be written by

(x + 13)² since we know that (x + 13)² = x² + 2.x.13 + 13²

So

(x + 13)² = 0

x + 13 = 0

x = -13

Our number is -13