product of two consecutive odd numbers is 6723 find the square root of smallest number
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Answered by
2
Consecutive numbers are numbers that follow each other in order.
Examples. 1, 2, 3, 4, 5……
Let the first odd number be x.
Then, the other odd number would be x + 2.(x+2 because if will we take (x+3) it would become a even number)
∴ x(x+2) = 6723
= x2 + 2x = 6723
= x2 + 2x = 6723
= x2 + 2x - 6723 = 0
= x2 + 83 - 81 x - 6723 = 0
= x(x+83) - 81 (x + 83) = 0
= (x + 83) (x - 81) = 0
= (x + 83) (x - 81) = 0
= x - 81 = 0
∴ x = 81
Hence, greater number = x + 2 = 81 + 2 = 83
Answered by
5
❤❤here is your answer ✌ ✌
Let the first odd number be x, the other wold be (x+2)
So, x(x+2)=6723
Short cut is try factorizing 6723 as
6723=9*747=9*9*83=81*83
x (x+2)=81*83
x=81
Let the first odd number be x, the other wold be (x+2)
So, x(x+2)=6723
Short cut is try factorizing 6723 as
6723=9*747=9*9*83=81*83
x (x+2)=81*83
x=81
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