Question

Problem Solving.
1) The square root of the sum of two consecutive integers is 7. Find the two integers.
2) The square root of the sum of two consecutive odd integers is 6V2. Find the larger integer​

Answer 1

Answer:

let the two consecutive odd natural number be x and x+2

given x

2

+(x+2)

2

=x

2

+x

2

+4x+4=130

x

2

+2x+2=65

x

2

+2x−63=0

x

2

+9x−7x−63=0

x(x+9)−7(x+9)=0

(x+9)(x−7)=0

x=7 or x=−9

if x=7,x+2=9

if x=−9,x+2=−7

since x the number should be natural x



=−9

∴ 7 and 9 are two consecutive natural number

Answer 2

Answer:

I'm pretty sure it's 2n+1 and 2n+3 are the two integers.

hope it helps

Step-by-step explanation: