Question

The sum 5 squares of two consecutive even numbers is 340. Find the numbers.

Answer 1

Step-by-step explanation:

Let the two consecutive even numbers be x and x + 2. Hence, the numbers are 12 and 14.

Answer 2

Answer:

⇒ Let two consecutive even number be x and x+2.

According to the question,

⇒ x^2+(x+2)^2 =340

⇒ x^2+x^2+4x+4=340

⇒ 2x^2 +4x+4=340

⇒ 2x^2+4x+4−340=0

⇒ 2x^2+4x−336=0

⇒ x^2 +2x−168=0

⇒ x^2+14x−12x−168=0

⇒ x(x+14)−12(x+14)=0

⇒ (x+14)(x−12)=0

⇒ x+14=0 and x−12=0

⇒ x=−14 and x=12

∴ One number is 12

⇒ Other number =12+2=14

⇒ Required product =12×14=168

Hope it will help you then please mark me brainliest.