Mathematics: The difference between the squares of two numbers is 3. twice the square of the first number increased by the square of the second number is 9. find the numbers.

11x+.06(10,000-x)=700 .11x+600-.06x=700 .05x=700-600 .05x=100 x=100/.05 x=2,000 the amount invested @ 11%. 10,000-2,000=8,ooo the amount invested @ 6%. Proof: .11*2,000+.06*8,000=700 220+480700 700=700...

The difference between the squares of two numbers

Ответ:

averylivinglife2041

12.01.2022

Mathematics

The number are $\sqrt{6}$ and $\sqrt{6}$ .

Step-by-step explanation:

Given as :

The difference between the squares of two number = 3

And , Twice the square of the first number increased by the square of the second number is 9

Now, Let The first number = F

And The second number = S

So , According to question

F² - S² = 3 .......A

2 F² - S² = 9 ........B

Now, solving the equations

( 2 F² - S² ) - ( F² - S² ) = 9 - 3

Or, ( 2 F² - F² ) + ( S² - S² ) = 6

Or, F² + 0 = 6

∴ F = $\sqrt{6}$

Putting the value of F in eq A

So, ( $\sqrt{6}$ )² - S² = 3

Or, 6 - 3 = S²

Or, S² = 3

∴ S = $\sqrt{3}$

So, The number are $\sqrt{6}$ , $\sqrt{6}$

Hence The number are $\sqrt{6}$ and $\sqrt{6}$ . Answer

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The difference between the squares of two numbers is 3. twice the square of the first number increased by the square of the second number is 9. find the numbers.

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