Question

Find two consecutive number whose square sum is85

Answer 1

Answer:

(9)^2+(2)^2=85

Step-by-step explanation:

the numbers are 9,2

Answer 2

Answer:

Let two numbers be x and y

Given that

they are consecutive, so y = x + 1

${x}^{2} + y {}^{2} = 85 \\ {x}^{2} + (x + 1) {}^{2} = 85 \\ {x}^{2} + {x}^{2} + 2x + 1 = 85 \\ 2x {}^{2} + 2x - 84 = 0 \\ {x}^{2} + x - 42 = 0 \\ {x}^{2} + 7x - 6x - 42 = 0 \\ x(x + 7) - 6(x + 7) = 0 \\ (x + 7)( x - 6) = 0$

x+7 = 0

x = -7 ,then y = -6

x-6=0

x = 6 , then y = 7