the sum of squares of two consecutive positive even number is 52 find the number
Answers
Answered by
11
Answer:
let one of the consecutive even no's be x
other consecutive no. be x+2
According to question,
sum of squares of consecutive no's= x² +(x+2)²=52
=x²+x²+4+4x=52
=2x²+4x-48=0
=2(x²+2x-24)=0
x²+6x-4x-24=0
x(x+6)-4(x+6)=0
(x-4)(x+6)=0
x=4,-6
x=4 since x is positve
other no.=6
therefore the two no.s are 4 and 6 respectively
Step-by-step explanation:
Similar questions