Question

Divide 12 into two parts such that the sum of their squares is 74.

Answer 1

SOLUTION

Refer to the attachment

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Answer 2

Hi.

Let x = one of the numbers

Then the other number = 12 - x

Sum of the squares is 74

x^2 + (12-x)^2 = 74

Solve for x:

x^2 + 144 - 24x + x^2 = 74

2x^2 - 24x + 70 = 0

x^2 - 12x + 35 = 0

Factor

(x-7)(x-5) = 0

So,the the numbers are 5 and 7 .

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