Question

Give the answer for 4 marks ​

Answer 1

Answer:6 and 8

Step-by-step explanation:

• Let the two consecutive positive even numbers be x and (x+2)
• According to the problem,
• (x)^2+(x+2)^2=100
• x^2+x^2+4+4x=100(Quadratic equation obtained)
• 2x^2+4+4x=100
• 2x^2+4x=96
• x^2+2x=48
• ⇒x^2+2x-48=0
• x^2+8x+6x-48=0(By splitting the middle term)
• (x+8)(x−6)=0
• ∵ x>0 this gives, x=6
• So, the numbers are 6 & (6+2)=8.

Hope my answer helps you !!!!!!!!!!!!!!