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The sum of the squares of two consecutive natural numbers is 313. The smaller number is:

Class 10Quadratic Word ProblemsAlgebra — Quadratics

A11
B12
C24
D13

Step-by-Step Solution

x^{2} + (x + 1)^{2} = 313, 2 x^{2} + 2 x - 312 = 0, x^{2} + x - 156 = 0, (x + 13) (x - 12) = 0. x = 12

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Answer: B) 12

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