Question

find two consecutive numbers whose square have the sum 85

Answer 1

Hi Friend !!!

Here is ur answer !!!

Let the number be x and x+1

x+1+x = 85

2x =85-1

x = 84/2

x = 42

So the numbers are 42,43

Answer 2

Hey!!!
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Here is your answer!!@
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Let one number =x
Other number =x+1
According to the question
x^2+(x+1)^2=85
x^2+x^2+1+2x=85
2x^2+1+2x=85
2x^2+2x-84=0
x^2+x-42=0
x^2+(7-6)x-42=0
x^2+7x-6x-42=0
x(x+7)-6(x+7)=0
(x+7)(x-6)=0
Number =-7 or 6
Other number =-6 or 7
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I hope it will help you!!!