Question

find three consecutive odd natural number the sum of those square is 155​

Answer 1

Answer:

Let an odd natural no. = x

then, two odd natural no. just grater than x are x+2 and x+2+2=x+4

Acc. to ques:-

x^2 + (x+2)^2 + (x+4)^2= 155

x^2 + x^2 + 4 + 4x + x^2 +16 + 8x= 155

3x^2 + 12x + 20 = 155

3x^2 + 12x +20 - 155 = 0

3x^2 + 12x - 135 = 0

3(x^2 + 4x - 45) = 0

OR

x^2 + 4x - 45 = 0

x^2 + 9x - 5x - 45 = 0

x(x + 9) - 5(x + 9) = 0

(x - 5) (x + 9) = 0

x-5=0                         OR                   x+9=0

x=5                                                     x=-9

-ve value will be rejected so x = 5

therefore 1st odd natural no. = 5

2nd odd natural no. = x + 2 => 5 + 2 = 7

3rd odd natural no. = x + 4 => 5 + 4=9

Answer=>  5, 7, 9

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