Math, asked by shilpakhandelwal806, 9 months ago

if X + Y is equals to 15 x y is equals to 16 find the value of x square minus y square​

Answers

Answered by kuldeep168
2

Answer:

For Solution ,Look At Above....

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Answered by SerenaBochenek
0

The value of (x²-y²) will be "15\sqrt{161}". Further explanation is given below.

Step-by-step explanation:

Given values is

x+y=15 and xy=16

Then,

(x-y)²=(x+y)²-4xy

On putting the values of (x+y) and (xy) in the above formula, we get

⇒ (x-y)²= (15)²-4×16

⇒         = 15×15-4×16

⇒         = 225-64

⇒ (x-y)²= 161

⇒  (x-y) = \sqrt{161}

As we know,

(x²-y²)= (x+y) (x-y)

On putting the values of (x+y) and (x-y) in the above formula, we get

⇒ (x²-y²)= (15) (\sqrt{161})

⇒           = 15\sqrt{161}

Learn more:

find the value of x square + y square ...

https://brainly.in/question/2923570

         

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