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The product of two consecutive integers is 56. Find the integers. - Mathematics

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प्रश्न

The product of two consecutive integers is 56. Find the integers.

योग

उत्तर

Let the two consecutive integers be x and x + 1.

From the given information,

x(x + 1) = 56

x2 + x – 56 = 0

(x + 8)(x – 7) = 0

x = – 8 or 7

Thus, the required integers are – 8 and –7; 7 and 8.

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सेलिना Mathematics [English] Class 10 ICSE
अध्याय 6 Solving (simple) Problems (Based on Quadratic Equations)
Exercise 6 (A) | Q 1 | पृष्ठ ६९
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