The sum of square of 2 consecutive even numbers is 340.Find the numbers
Answers
Answered by
3
Let the first even no. be x
and the consecutive be x+2
x^2 +( x+2)^2 = 340
x^2 + x^2 + 4x +4 = 340
2x^2 +4x +4 -340 = 0
2x^2 +4x -336=0
Using middle term splitting method we will get
(x+14)(x-12)
x-12 is a factor that means
x-12=0
x=12
and the consecutive be x+2
x^2 +( x+2)^2 = 340
x^2 + x^2 + 4x +4 = 340
2x^2 +4x +4 -340 = 0
2x^2 +4x -336=0
Using middle term splitting method we will get
(x+14)(x-12)
x-12 is a factor that means
x-12=0
x=12
ammux:
tnxxx
Similar questions