Question

Find two consecutive positive even integers, the sum of whose squares is 340.​

Answer 1

Answer:

12 and 14

Step-by-step explanation:

x^2+(x+2)^2=340

Solve the equations and add

x^2+x^2+4x+4=340

2x^2+4x+4=340

divide both sides by 2

x^2+2x+2=170

Subtract  170 both sides

x^2+2x-168=0

factor

(x-12)(x+14)=0

set both equations to zero

x-12=0

add 12

x=12

x+14=0

minus 14

x=-14

b

We only want postive numbers so,

x=12

12+2=14

Answer 12, 14