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The product of a number and the number 8 more than it is 105.a. What is the least number to be added to make the product a perfect square?b. What are the numbers in the problem? |
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Answer» a. Let the number be x, then second number is x + 8 x(x + 8) = 105 x2 + 8x = 105 The number to be added to get a perfect square is 16 b. x2 + 8x + 16 = 121 (x + 4)2 = 121 ; x + 4 = 11 or -11 x = 7 or -15 number 7, 15 or -15, -7 |
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