Question

find the two consecutive numbers whose squares have the sun of 85.​

Answer 1

Answer:

The consecutive numbers that the sum of this squares is 85 are 6,7 and −6, −7.

Step-by-step explanation:

Answer 2

Step-by-step explanation:

let the two consecutive positive integer be x,x+1

a/q

x^2+(x+)^2=85

x^2+x^2+2x+1= 85

2x^2+2x+1=85

2x^2+2x+1-85=0

2x^2+2x-84=0

2(x^2+x-42)=0

x^2+x-42=0

x^2+7x-6x-42=0

x(x+7)-6(x+7)=0

(x+7) (x-6)=0

x+7=0 or x-6=0

x=-7 x=6

therefore the numbers are x= 6

x+1= 6+1=7