Write an equation for the following statements :
Difference of squares of two numbers $m$ and $n$ $(m > n)$ is $56 .$

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Solution

We have,
Squares of $m$ and $n$ is $m^{2}$ and $n^{2}$
Given that $m > n$ . So, $m^{2} > n^{2}$
According to the given condition we get,
$m^{2} - n^{2} = 56$
Hence, the required equation is $m^{2} - n^{2} = 56$ .

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Similar questions

Write true (T) or false (F) for the following statements. (i) The number of digits in a square numbers is even .

(ii) The square of a prime number is prime.

(iii) The sum of two square numbers is a square number.

(iv) The difference of two square numbers is a square number.

(v) The product of two square numbers is a square number.

(vi) No square number is negative

(vii) There is not square number between 50 and 60.

(viii) There are fourteen square number upto 200.

Q. Write (T) for true and (F) for false for each of the statements given below:
(i) The number of digits in a perfect square is even.
(ii) The square of a prime number is prime.
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(iv) The difference of two perfect squares is a perfect square.
(v) The product of two perfect squares is a perfect square.

Write an equation for the following statement:

Sum of squares of three numbers is $83 .$

Write the following as an equation:
$T h e p r o d u c t o f t w o n u m b e r s i s e q u a l t o t h e d i f f e r e n c e o f t h o s e n u m b e r s .$

Q. The sum of the squares of two numbers is

98

and square of their difference is

56

. The product of the two numbers is

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Write an equation for the following statements :Difference of squares of two numbersmand n(m>n)is56.

We have,Squares of m and n is m2 and n2Given that m>n. So, m2>n2 According to the given condition we get, m2-n2=56Hence, the required equation is m2-n2=56.

Write an equation for the following statements :
Difference of squares of two numbers $m$ and $n$ $(m > n)$ is $56 .$

We have,
Squares of $m$ and $n$ is $m^{2}$ and $n^{2}$
Given that $m > n$ . So, $m^{2} > n^{2}$
According to the given condition we get,
$m^{2} - n^{2} = 56$
Hence, the required equation is $m^{2} - n^{2} = 56$ .