Question

the sum of squares of 2consecutive even integers is 100.find difference of numbers​

Answer 1

☆QUESTION:-

the sum of squares of 2consecutive even integers is 100.find difference of numbers

ANSWER:-

let x be the first even number and (x+2) be the second even numbers.

then,

ATQ.

=> x²+(x+2)²=100

=>x²+x²+4+4x=100

=>2x²+4x+4=100

=>x²+2x+2=50

=>x²+2x-48=0

=>x²+8x-6x-48=0

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

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

=> x=6,8

the numbers are 6and 8.

So the difference betweeb them is.

6-8=> -2

ans.