Question

The sum and product of two integers are 26 and 165 respectively. The difference between these two integers is

Answer 1

Answer:4

Step-by-step explanation:

Let one integer be x and another be (26-x)

ATQ,

x(26-x)=165

26x-x^2=165

x^2-26x+165=0

By solving the quadratic equation,

x=15,11

The integers are 15 and 11

Difference between the two is 4

Answer 2

The integers are 15 and 11

Step-by-step explanation:

Let the integers be x and y

We are given that The sum and product of two integers are 26 and 165 respectively.

So, $x+y=26$ ---A

$xy=165$

Substitute the value of y Form A

$x(26-x)=165\\26x-x^2=165\\x^2-26x+165=0\\(x-15)(x-11)=0\\x=15,11$

Hence The integers are 15 and 11

#Learn more:

The sum of two integer is -11 and their product is -60 what are the two integers..​

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