Question

The product of two consecutive square number is 144.
Work out the two numbers

Answer 1

12 this is the answer of your question

Answer 2

Let the two consecutive square no. is x and x+1

According to question

x^2 + ( x+1)^2 = 144

x^2 + x^2 + 1 + 2x = 144

2x^2 + 2x = 144 - 1

2x^2 + 2x - 143 = 0

2x^2 + 13x - 11x -143 = 0

2x(x + 13) - 11(x + 13) = 0

(x+13) (2x - 11) = 0

x = -13 and 11/2 .


the product of these no. is 144.

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