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Answer on Algebra Question for jojo alex

Question #4922
two numbers differ by 4 and their product is 192 find the number ?
Expert's answer
Solution
We have two unknown numbers and two conditions on these numbers.
Let's designate these numbers through x ,y& .
Let's make system of the equations.
<img src="data:image/png;base64,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" alt="">
Let's solve system of the equations.
<img src="data:image/png;base64,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" alt=""> lt;img src="data:image/png;base64,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" alt="">
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<img src="data:image/png;base64,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" alt=""> & & & & & & <img src="data:image/png;base64,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" alt="">
<img src="data:image/png;base64,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" alt=""> & & & & & & <img src="data:image/png;base64,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" alt="">
<img src="data:image/png;base64,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" alt=""> <img src="data:image/png;base64,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" alt="">
lt;img src="data:image/png;base64,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" alt=""> & <img src="data:image/png;base64,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" alt="">
Thus Thus
<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADwAAAA0CAIAAABZzcxIAAACqElEQVRoge2Zv2vjMBTH9T/kP8jQsf9CKV0KB721k3cfFLq1XTy0JWPpZozXjC7ZshQPyZDpMOEKV8IJWjB4DXUXa0qH1zOqJNuSlUhOyXcIJLGTj56f3i+h1RYK2QZoo+8F7XtOr7eP08wkjaQE0Hm+POn3p8nCPI2kBNBxFJgkJqS4PD06Or0sCBHCIIT6/ZNlnpcfCqCHd9fGvAKeKkKIh4avGFyQAPohCPjrNqo4ChhoIHY8X3h9R6F9zxHaGCQFvUimCKEymMDbKi/UhwYz34QheA5Pr2DpOAocz4fXRg7fc5BIwnsZaDCK6w6WeQ7btHkjVkFnKd7v9YIobiRWFQ9NU8Ia6ICmAA2L3kQ0rIfm84YC9Gw8urr6JeMbKz33YCizFB/sHdBRWBZ6kUyDKM5S7LqDgpDZePQHY97b2sn3HGZbx1FQ/rLvOcxSm6EhJ8Ft4CEIIfBsQor7i1sd6DK50NGpXEnVwxFAn/88Tv69yPylPnQ77aBNSatg6gq0EgfslTXmc0mx0FmKr++GJgla6Av0IpmaN1sLfUJDAJbMdtb1xdKSFZx1sT4N6doKiry0ooctdaLdUpXlbrydvgv02Y/Dx99/TUII5zV01cq0S/ahhfMaOh5AQd/QbllxD6bjen1+Khn4xNdRaEZMxyULzRR0a69SaqD5KYCCpenOnpBiGA7roXUaclplN90Gmm7l83w5mSQ1xKqqgeZ5FKDpcUQymaw3a1ZBC4flbaCzFI/Gs9V/b6safei7B129ZSl+en5VhgbEmzC8vbgXBlQd8fMaGOGVok2jDM3YdUPzGkgoVc9HLU7P53N+JeZL2WZoiDhv72/CkWlXoJnmBcbSVWeKXYEmpBi4rmQmtzL6EJ/Ywp7bphPb7msHbUo7aFPaSugPHbhL1IW4VF8AAAAASUVORK5CYII=" alt=""> or <img src="data:image/png;base64,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" alt=""> & <img src="data:image/png;base64,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" alt=""> or& & <img src="data:image/png;base64,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" alt="">
<img src="data:image/png;base64,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" alt="">
Answer: 12, 16; -12, -16.

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