Question

Sum of the square of two consecutive positive even integers is 100 ,find those numbers by using quadratic equations.

Answer 1

Answer:

let one no. be = x

other will be =(x+2)

ATQ

x^2+(x^2+4+4x) = 100

2x^2+4+4x= 100

2x^2+4x-96 =0

x^2+2x-48 =0

now after solving this

we get

x =6,8

so the required numbers are 6 , 8