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Two numbers differ by 4. The product of the two numbers is 221. What are the numbers? |
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Answer» let the number x and y x - y = 4 \\ XY = 221 \\ x = \FRAC{221}{y} \\ \frac{221}{y} - y = 4 \\ 221 - {y}^{2} = 4Y \\ - {y}^{2} - 4y + 221 = 0 \\ {y}^{2} + 4y - 221 = 0 \\ {y}^{2} - 17y + 13y - 221 = 0 \\ y(y - 17) + 13(y - 17) = 0 \\ (y + 13)(y - 17) = 0 \\ y = - 13 \\ y = 17 \\ PUT these values of y into any of the equation. xy= 221 x = \frac{221}{ - 13} = - 17 \\ x = \frac{221}{17 } = 13 Step-by-step explanation: |
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