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Three consecutive natural numbers have squares that add up to 110. The smallest of these numbers is:
Find it.

Class 10Quadratic Word ProblemsAlgebra — Quadratics

A5
B10
C6
D4

Step-by-Step Solution

(x - 1)^{2} + x^{2} + (x + 1)^{2} = 110, 3 x^{2} + 2 = 110, 3 x^{2} = 108, x^{2} = 36, x = 6

. Smallest =

x - 1 = 5

.

Answer: A) 5

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