Question

the sum of the squares of two consecutive even natural numbers is 100 write the quadratic equation plz explain​

Answer 1

Consecutive numbers :

Numbers that come after each other like 1 ,2,3,4 and so on are consecutive numbers .

The QUESTION SAYS CONSECUTIVE EVEN NUMBERS I. e 2,4,6,8.

Now we will find there SQUARES but we are gonna find squares of only these even numbers because the square of 10 is 100 and we need any two even numbers who squares sum Is 100 .

Square of 6 is 36 .

Square of 8 Is 64.

so there sum is equal to 100 ..

Equation so formed will be .

6^2+8^2=100

(Quadratic means having power two so 6 and 8 have power 2 and if you want to express 100 as quadratic it will be 10^2 (=100)).

Hope it is useful