Question

The difference of two positive numbers is 2 and the product o f these two numbers is 17 then their sum is

Answer 1

Answer:

Difference=2

Product=17

Sum=?

Sum=17-2

=15

Answer 2

Their sum would be 6√2

Step-by-step explanation:

Let the numbers are x and y such that x > y.

Then according to the question,

x - y = 2,

xy = 17

We know that,

$(x-y)^2=x^2+y^2-2xy$

$(2)^2 = x^2 + y^2 - 2(17)$

$4=x^2+y^2 - 34$

$\implies x^2 + y^2 = 4 + 34 = 38$

Now,

$(x+y)^2 = x^2 + y^2 + 2xy = 38 + 2(17) = 38 + 34 = 72$

$\implies x + y = \sqrt{72}$  = 6√2 ( Negative value will be neglected because sum of two positive number is always a positive number )

#Learn more :

If the sum of two numbers is 24 and their difference is 15. What is the positive difference of the two numbers??

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