Question

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

Answer 1

Answer:

6 and 8.

Step-by-step explanation:

let ist no is = x

let 2nd no is= x+2. (because no are even integers)

given,

x²+(x+2)²=100

x²+x²+4+4x=100

2x²+4x-96=0

x²+2x-48=0

x²+8x-6x-48=0

x(x+8)-6(x+8)=0

(x-6)(x+8)=0

x-6=0,(x+8=0

x=6, x=-8reject

x=6

2ndno=x+2=6+2=8