Question

Two consecutive positive even numbers are such that the sum of their squares is 164. Find the two numbers.

Answer 1

Step-by-step explanation:

x2+(x +2)2=164

x2+x2+4+4x=164

2x2+4x=164-4=160

2x2+4x-160=0

2(x2+2x-80)=0

x2+2x-80=0

x2+10x-8x-80=0

x(x+10)-8(x+10)=0

x+10)(x-8)

so the number is 8and-10