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InterviewSolution
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TICILE LUI HUIUI 10 J.Example 3. Divide 16 into two parts such that twice the square of the larger partexceeds the square of the smaller part by 164. |
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Answer» Let two parts of 16 are x and (16 - x) As per given condition2x^2 = (16 - x)^2 + 1642x^2 = x^2 + 256 - 32x + 164x^2 + 32x - 420 = 0x^2 + 42x - 10x - 420 = 0x(x + 42) - 10(x + 42) = 0(x - 10)(x + 42) = 0x = 10, - 42 Negative value not possible Thus, x = 10 Two parts of 16 are 10, 6 |
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