Question

sum of squares of two consecutive even number by writing a suitable quadratic equation​

Answer 1

Answer:

Let the number be x

Consecutive number = x+1

Let sum of squares = c

(x)^2 + (x+1)^2 = c

x^2 + x^2 +1+ 2x-c =0 {(a+b)^2 = a^2 + b^2 + 2ab}

2x^2 + 2x + (1-c) =0 is the required quadratic equation.